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Finding the Fourth Proportional to 138.53, 206.92 and 104.11

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Solution

The fourth proportional to 138.53, 206.92 and 104.11 is: 155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.53 : 206.92 = 104.11 : x
  2. Step 2: Convert to fraction form
    138.53/206.92 = 104.11/x
  3. Step 3: Cross multiply
    138.53x = 206.92 × 104.11
  4. Step 4: Simplify right side
    138.53x = 21,542.44
  5. Step 5: Solve for x
    x = 21,542.44/138.53
  6. Step 6: Final answer
    x = 155.51

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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.