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Finding the Fourth Proportional to 138.20, 205.91 and 132.48

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Solution

The fourth proportional to 138.20, 205.91 and 132.48 is: 197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.20 : 205.91 = 132.48 : x
  2. Step 2: Convert to fraction form
    138.20/205.91 = 132.48/x
  3. Step 3: Cross multiply
    138.20x = 205.91 × 132.48
  4. Step 4: Simplify right side
    138.20x = 27,278.79
  5. Step 5: Solve for x
    x = 27,278.79/138.20
  6. Step 6: Final answer
    x = 197.39

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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.