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Finding the Fourth Proportional to 166.91, 250.13 and 118.71

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Solution

The fourth proportional to 166.91, 250.13 and 118.71 is: 177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.91 : 250.13 = 118.71 : x
  2. Step 2: Convert to fraction form
    166.91/250.13 = 118.71/x
  3. Step 3: Cross multiply
    166.91x = 250.13 × 118.71
  4. Step 4: Simplify right side
    166.91x = 29,693.23
  5. Step 5: Solve for x
    x = 29,693.23/166.91
  6. Step 6: Final answer
    x = 177.90

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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.