What is the mean proportional between the fourth proportionals of (0.03, 5, 0.006) and (0.81, 294; 5.4)?
Answers
Given :- What is the mean proportional between the fourth proportionals of (0.03, 5, 0.006) and (0.81, 29.4; 5.4) ?
Solution :-
Let fourth proportional of (0.03, 5, 0.006) is x and fourth proportional of (0.81, 294; 5.4) is y .
than,
→ Product of extreme = product of means .
→ 0.03 * x = 5 * 0.006
dividing both sides by 0.03 ,
→ x = 5 * 0.2
→ x = 1 .
and,
→ 0.81 * y = 29.4 * 5.4
dividing both sides by 0.81,
→ y = 196.
Now, we know that,
- Mean proportional of a : b = √(a * b) .
Therefore,
→ Mean proportional of x and y = √(xy) = √(1 * 196) = √(196) = 14 (Ans.)
Hence, the mean proportional between the fourth proportionals of given ratio is 14.
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