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Finding the Fourth Proportional to 139.43, 207.57 and 132.80

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Solution

The fourth proportional to 139.43, 207.57 and 132.80 is: 197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.43 : 207.57 = 132.80 : x
  2. Step 2: Convert to fraction form
    139.43/207.57 = 132.80/x
  3. Step 3: Cross multiply
    139.43x = 207.57 × 132.80
  4. Step 4: Simplify right side
    139.43x = 27,564.63
  5. Step 5: Solve for x
    x = 27,564.63/139.43
  6. Step 6: Final answer
    x = 197.69

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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.