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Finding the Fourth Proportional to 139.52, 209.50 and 132.66

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Solution

The fourth proportional to 139.52, 209.50 and 132.66 is: 199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.52 : 209.50 = 132.66 : x
  2. Step 2: Convert to fraction form
    139.52/209.50 = 132.66/x
  3. Step 3: Cross multiply
    139.52x = 209.50 × 132.66
  4. Step 4: Simplify right side
    139.52x = 27,791.94
  5. Step 5: Solve for x
    x = 27,791.94/139.52
  6. Step 6: Final answer
    x = 199.19

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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.