Three positive numbers are in the proportion 3 : 4 : 6. If the sum of their squares is 244, then what is value of the largest number?
Answer & explanation
Correct answer: option 3
The proportion of three numbers = 3 : 4 : 6
The proportion of their squares = 9 : 16 : 36
Given, 9r² + 16r² + 36r² = 244
61r² = 244
⇒ r² = 4 or r = 2
The largest number in the proportion = 6r = 6 x 2 = 12