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Finding the Fourth Proportional to 138.92, 207.19 and 132.10

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Solution

The fourth proportional to 138.92, 207.19 and 132.10 is: 197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.92 : 207.19 = 132.10 : x
  2. Step 2: Convert to fraction form
    138.92/207.19 = 132.10/x
  3. Step 3: Cross multiply
    138.92x = 207.19 × 132.10
  4. Step 4: Simplify right side
    138.92x = 27,369.45
  5. Step 5: Solve for x
    x = 27,369.45/138.92
  6. Step 6: Final answer
    x = 197.02

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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.