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Finding the Fourth Proportional to 140.38, 209.38 and 132.46

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Solution

The fourth proportional to 140.38, 209.38 and 132.46 is: 197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.38 : 209.38 = 132.46 : x
  2. Step 2: Convert to fraction form
    140.38/209.38 = 132.46/x
  3. Step 3: Cross multiply
    140.38x = 209.38 × 132.46
  4. Step 4: Simplify right side
    140.38x = 27,734.47
  5. Step 5: Solve for x
    x = 27,734.47/140.38
  6. Step 6: Final answer
    x = 197.57

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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.