Finding the Fourth Proportional to 115.97, 159.84 and 84.78
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Solution
The fourth proportional to 115.97, 159.84 and 84.78 is: 116.86
Step by Step Solution
- Step 1: Write the proportion equation
115.97 : 159.84 = 84.78 : x - Step 2: Convert to fraction form
115.97/159.84 = 84.78/x - Step 3: Cross multiply
115.97x = 159.84 × 84.78 - Step 4: Simplify right side
115.97x = 13,551.24 - Step 5: Solve for x
x = 13,551.24/115.97 - Step 6: Final answer
x = 116.86
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.