Question

what is the fourth proportional to the numbers 2,5,8​

Answer 1

Answer:

20

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Answer 2

The fourth proportional is 20

Given :

The numbers 2 , 5 , 8

To find :

The fourth proportional to the numbers 2 , 5 , 8

Solution :

Step 1 of 2 :

Form the equation to find the number

Let x be the fourth proportional to the numbers 2 , 5 , 8

Then we have

2 : 5 = 8 : x

Step 2 of 2 :

Find the number

$\displaystyle \sf{2 : 5 = 8 : x }$

$\displaystyle \sf{ \implies \frac{2}{5} = \frac{8}{x} }$

$\displaystyle \sf{ \implies 2x = 40 }$

$\displaystyle \sf{ \implies x = \frac{40}{2} }$

$\displaystyle \sf{ \implies x = 20 }$

Hence fourth proportional to the numbers 2 , 5 , 8 is 20

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