Posted by **Lorie** on Friday, April 5, 2013 at 3:04pm.

A quantity, W, is directly proportional to x and the square of y and inversely proportional to the cube of z. W-3 when x=4,y=2 and z=4. What is the value of w, when x=5, y=5 and z=4. Give answer to three decimal places. Thanks so much!

- college math -
**Reiny**, Friday, April 5, 2013 at 3:12pm
W = k x√y/z^3

so W=3, x=4,y=2, z=4

3 = k(4√2/64

k = 192/(4√2) = 48/√2

so if x = 5,y=5,z=4

W = (48/√2)(5)(√5)/64

= 15√5/(3√2) or after rationalizing the denominator

= 15√10/8 = appr 5.929

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