Finding the Fourth Proportional to 48.17, 71.92 and 42.09
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Solution
The fourth proportional to 48.17, 71.92 and 42.09 is: 62.84
Step by Step Solution
- Step 1: Write the proportion equation
48.17 : 71.92 = 42.09 : x - Step 2: Convert to fraction form
48.17/71.92 = 42.09/x - Step 3: Cross multiply
48.17x = 71.92 × 42.09 - Step 4: Simplify right side
48.17x = 3,027.11 - Step 5: Solve for x
x = 3,027.11/48.17 - Step 6: Final answer
x = 62.84
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.