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Finding the Fourth Proportional to 140.62, 210.63 and 136.78

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Solution

The fourth proportional to 140.62, 210.63 and 136.78 is: 204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.62 : 210.63 = 136.78 : x
  2. Step 2: Convert to fraction form
    140.62/210.63 = 136.78/x
  3. Step 3: Cross multiply
    140.62x = 210.63 × 136.78
  4. Step 4: Simplify right side
    140.62x = 28,809.97
  5. Step 5: Solve for x
    x = 28,809.97/140.62
  6. Step 6: Final answer
    x = 204.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.