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Finding the Fourth Proportional to 140.68, 209.82 and 138.61

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Solution

The fourth proportional to 140.68, 209.82 and 138.61 is: 206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.68 : 209.82 = 138.61 : x
  2. Step 2: Convert to fraction form
    140.68/209.82 = 138.61/x
  3. Step 3: Cross multiply
    140.68x = 209.82 × 138.61
  4. Step 4: Simplify right side
    140.68x = 29,083.15
  5. Step 5: Solve for x
    x = 29,083.15/140.68
  6. Step 6: Final answer
    x = 206.73

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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.