Finding the Fourth Proportional to 71.47, 107.25 and 41.09
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Solution
The fourth proportional to 71.47, 107.25 and 41.09 is: 61.66
Step by Step Solution
- Step 1: Write the proportion equation
71.47 : 107.25 = 41.09 : x - Step 2: Convert to fraction form
71.47/107.25 = 41.09/x - Step 3: Cross multiply
71.47x = 107.25 × 41.09 - Step 4: Simplify right side
71.47x = 4,406.90 - Step 5: Solve for x
x = 4,406.90/71.47 - Step 6: Final answer
x = 61.66
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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.