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Finding the Fourth Proportional to 108.91, 163.17 and 57.47

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Solution

The fourth proportional to 108.91, 163.17 and 57.47 is: 86.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.91 : 163.17 = 57.47 : x
  2. Step 2: Convert to fraction form
    108.91/163.17 = 57.47/x
  3. Step 3: Cross multiply
    108.91x = 163.17 × 57.47
  4. Step 4: Simplify right side
    108.91x = 9,377.38
  5. Step 5: Solve for x
    x = 9,377.38/108.91
  6. Step 6: Final answer
    x = 86.10

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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.