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Finding the Fourth Proportional to 140.73, 209.28 and 136.40

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Solution

The fourth proportional to 140.73, 209.28 and 136.40 is: 202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.73 : 209.28 = 136.40 : x
  2. Step 2: Convert to fraction form
    140.73/209.28 = 136.40/x
  3. Step 3: Cross multiply
    140.73x = 209.28 × 136.40
  4. Step 4: Simplify right side
    140.73x = 28,545.11
  5. Step 5: Solve for x
    x = 28,545.11/140.73
  6. Step 6: Final answer
    x = 202.84

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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.