Finding the Fourth Proportional to 74.26, 102.42 and 58.70
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Solution
The fourth proportional to 74.26, 102.42 and 58.70 is: 80.96
Step by Step Solution
- Step 1: Write the proportion equation
74.26 : 102.42 = 58.70 : x - Step 2: Convert to fraction form
74.26/102.42 = 58.70/x - Step 3: Cross multiply
74.26x = 102.42 × 58.70 - Step 4: Simplify right side
74.26x = 6,012.05 - Step 5: Solve for x
x = 6,012.05/74.26 - Step 6: Final answer
x = 80.96
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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.