Finding the Fourth Proportional to 58.24, 87.28 and 27.82
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Solution
The fourth proportional to 58.24, 87.28 and 27.82 is: 41.69
Step by Step Solution
- Step 1: Write the proportion equation
58.24 : 87.28 = 27.82 : x - Step 2: Convert to fraction form
58.24/87.28 = 27.82/x - Step 3: Cross multiply
58.24x = 87.28 × 27.82 - Step 4: Simplify right side
58.24x = 2,428.13 - Step 5: Solve for x
x = 2,428.13/58.24 - Step 6: Final answer
x = 41.69
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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.