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Finding the Fourth Proportional to 140.42, 209.43 and 133.61

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Solution

The fourth proportional to 140.42, 209.43 and 133.61 is: 199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.42 : 209.43 = 133.61 : x
  2. Step 2: Convert to fraction form
    140.42/209.43 = 133.61/x
  3. Step 3: Cross multiply
    140.42x = 209.43 × 133.61
  4. Step 4: Simplify right side
    140.42x = 27,980.90
  5. Step 5: Solve for x
    x = 27,980.90/140.42
  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.