Finding the Fourth Proportional to 116.01, 173.58 and 77.31
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Solution
The fourth proportional to 116.01, 173.58 and 77.31 is: 115.68
Step by Step Solution
- Step 1: Write the proportion equation
116.01 : 173.58 = 77.31 : x - Step 2: Convert to fraction form
116.01/173.58 = 77.31/x - Step 3: Cross multiply
116.01x = 173.58 × 77.31 - Step 4: Simplify right side
116.01x = 13,419.47 - Step 5: Solve for x
x = 13,419.47/116.01 - Step 6: Final answer
x = 115.68
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.