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Finding the Fourth Proportional to 140.21, 209.39 and 119.76

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Solution

The fourth proportional to 140.21, 209.39 and 119.76 is: 178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.21 : 209.39 = 119.76 : x
  2. Step 2: Convert to fraction form
    140.21/209.39 = 119.76/x
  3. Step 3: Cross multiply
    140.21x = 209.39 × 119.76
  4. Step 4: Simplify right side
    140.21x = 25,076.85
  5. Step 5: Solve for x
    x = 25,076.85/140.21
  6. Step 6: Final answer
    x = 178.85

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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.