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Finding the Fourth Proportional to 140.24, 209.46 and 121.04

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Solution

The fourth proportional to 140.24, 209.46 and 121.04 is: 180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.24 : 209.46 = 121.04 : x
  2. Step 2: Convert to fraction form
    140.24/209.46 = 121.04/x
  3. Step 3: Cross multiply
    140.24x = 209.46 × 121.04
  4. Step 4: Simplify right side
    140.24x = 25,353.04
  5. Step 5: Solve for x
    x = 25,353.04/140.24
  6. Step 6: Final answer
    x = 180.78

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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.