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Finding the Fourth Proportional to 140.50, 209.68 and 136.85

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Solution

The fourth proportional to 140.50, 209.68 and 136.85 is: 204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.50 : 209.68 = 136.85 : x
  2. Step 2: Convert to fraction form
    140.50/209.68 = 136.85/x
  3. Step 3: Cross multiply
    140.50x = 209.68 × 136.85
  4. Step 4: Simplify right side
    140.50x = 28,694.71
  5. Step 5: Solve for x
    x = 28,694.71/140.50
  6. Step 6: Final answer
    x = 204.24

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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.