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Finding the Fourth Proportional to 138.42, 206.30 and 132.39

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Solution

The fourth proportional to 138.42, 206.30 and 132.39 is: 197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.42 : 206.30 = 132.39 : x
  2. Step 2: Convert to fraction form
    138.42/206.30 = 132.39/x
  3. Step 3: Cross multiply
    138.42x = 206.30 × 132.39
  4. Step 4: Simplify right side
    138.42x = 27,312.39
  5. Step 5: Solve for x
    x = 27,312.39/138.42
  6. Step 6: Final answer
    x = 197.32

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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.