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Finding the Fourth Proportional to 139.49, 207.66 and 132.86

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Solution

The fourth proportional to 139.49, 207.66 and 132.86 is: 197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.49 : 207.66 = 132.86 : x
  2. Step 2: Convert to fraction form
    139.49/207.66 = 132.86/x
  3. Step 3: Cross multiply
    139.49x = 207.66 × 132.86
  4. Step 4: Simplify right side
    139.49x = 27,589.98
  5. Step 5: Solve for x
    x = 27,589.98/139.49
  6. Step 6: Final answer
    x = 197.79

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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.