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What is the Peterson formula?

Published in Body Weight Calculation 2 mins read

The Peterson formula, in the context provided, is a calculation used to estimate ideal body weight based on a target Body Mass Index (BMI).

Understanding the Peterson Formula

The Peterson formula specifically uses a target BMI and a person's height in meters to calculate the estimated ideal body weight. It is important to note that this formula is considered to be independent of sex. The formula, as given in the reference, is:

(2.2 × target BMI) + (3.5 × target BMI × (height [m] - 1.5))

Breakdown of the Formula

  • Target BMI: This is the desired BMI value, often within the healthy range.
  • Height [m]: The individual's height, measured in meters.
  • 2.2: A constant multiplier.
  • 3.5: Another constant multiplier used in the second term of the formula.
  • 1.5: A constant value subtracted from the height in meters.

How to Use the Formula

To use this formula, you will need the individual's height in meters and a target BMI.

  1. Convert height to meters: If the height is given in feet or inches, it must be converted to meters. (e.g., 5 feet 10 inches ≈ 1.78 meters)
  2. Choose a target BMI: A healthy target BMI is usually between 18.5 and 24.9. You should consult with healthcare professionals.
  3. Plug the values into the formula: Insert the height (in meters) and the target BMI into the formula: (2.2 × target BMI) + (3.5 × target BMI × (height [m] - 1.5)).
  4. Calculate: Solve the equation to find the estimated ideal body weight.

Example

Let's assume a person is 1.75 meters tall and has a target BMI of 22.

  • Calculation: (2.2 × 22) + (3.5 × 22 × (1.75 - 1.5))
  • Step-by-step:
    • (2.2 * 22) = 48.4
    • (1.75 - 1.5) = 0.25
    • (3.5 22 0.25) = 19.25
    • 48.4 + 19.25 = 67.65
  • Result: According to the Peterson formula, the estimated ideal body weight for a person with a target BMI of 22 and a height of 1.75 meters is approximately 67.65 kilograms.

Important Considerations

  • This formula provides an estimate of ideal body weight based on the target BMI and height.
  • This formula does not take into account body composition, such as muscle mass versus fat mass.
  • Consulting with healthcare professionals is essential for personalized recommendations.