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Finding the Fourth Proportional to 166.92, 249.27 and 142.60

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Solution

The fourth proportional to 166.92, 249.27 and 142.60 is: 212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.92 : 249.27 = 142.60 : x
  2. Step 2: Convert to fraction form
    166.92/249.27 = 142.60/x
  3. Step 3: Cross multiply
    166.92x = 249.27 × 142.60
  4. Step 4: Simplify right side
    166.92x = 35,545.90
  5. Step 5: Solve for x
    x = 35,545.90/166.92
  6. Step 6: Final answer
    x = 212.95

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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.