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Finding the Fourth Proportional to 140.80, 210.44 and 129.76

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Solution

The fourth proportional to 140.80, 210.44 and 129.76 is: 193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.80 : 210.44 = 129.76 : x
  2. Step 2: Convert to fraction form
    140.80/210.44 = 129.76/x
  3. Step 3: Cross multiply
    140.80x = 210.44 × 129.76
  4. Step 4: Simplify right side
    140.80x = 27,306.69
  5. Step 5: Solve for x
    x = 27,306.69/140.80
  6. Step 6: Final answer
    x = 193.94

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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.