Let the ratio 2:3:4 be 2a, 3a, and 4a.
So according to the question:
(2a)3+ (3a)3+(4a)3 = 0.334125
8a3+27a3+64a3 = 0.334125
99a3 = 0.334125
a3 = 334125/1000000×99
= 3375/1000000
a = ∛(3375/1000000)
= ∛((15×15×15)/ 100×100×100)
= 15/100
= 0.15
Hence ,the numbers are:
2×0.15 = 0.30
3×0.15 = 0.45
= 4×0.15
= 0.6
