Ponderal index

The ponderal index is measure of leanness of a person^[1] calculated as a relationship between height and mass.^[2]

It is most commonly used in pediatrics.^[3]

The ponderal index is variously defined as follows:

Formula	Units for mass (body weight)	Units for height (or length)	Values corresponding to "normal" BMI in a 180cm tall person
$PI=1000*(\sqrt[3]{mass}/height)$ ^[2]	kilograms	centimetres	21.75 to 24.0^[4]
$PI=100*(\sqrt[3]{mass}/height)$ ^[5]	kilograms	centimetres	2.175 to 2.4
$PI=height/\sqrt[3]{mass}$ ^[1]	pounds	inches	13.92 to 12.49
$PI=mass/\sqrt[3]{height}$ ^[3]	kilograms	metres	10.3 to 13.9

[edit] References

^ ^a ^b Foods and Nutrition Encyclopedia, Audrey H. Ensminger, Marion Eugene Ensminger. p. 1645
^ ^a ^b EXSS 323: LAB 1 - BIOMECHANICS TOOLS: Computers, Algebra and Trig Oregon State University
^ ^a ^b ACC/SCN NUTRITION POLICY PAPER No. 19 - Glossary by Lindsay H. Allen and Stuart R. Gillespie
^ The source quoted (Oregon State University) states that typical healthy PI values range between 20 and 25.
^ Medical Dictionary University of Newcastle upon Tyne