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Finding the Fourth Proportional to 140.80, 209.73 and 133.78

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Solution

The fourth proportional to 140.80, 209.73 and 133.78 is: 199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.80 : 209.73 = 133.78 : x
  2. Step 2: Convert to fraction form
    140.80/209.73 = 133.78/x
  3. Step 3: Cross multiply
    140.80x = 209.73 × 133.78
  4. Step 4: Simplify right side
    140.80x = 28,057.68
  5. Step 5: Solve for x
    x = 28,057.68/140.80
  6. Step 6: Final answer
    x = 199.27

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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.