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Finding the Fourth Proportional to 140.44, 209.68 and 121.16

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Solution

The fourth proportional to 140.44, 209.68 and 121.16 is: 180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.44 : 209.68 = 121.16 : x
  2. Step 2: Convert to fraction form
    140.44/209.68 = 121.16/x
  3. Step 3: Cross multiply
    140.44x = 209.68 × 121.16
  4. Step 4: Simplify right side
    140.44x = 25,404.83
  5. Step 5: Solve for x
    x = 25,404.83/140.44
  6. Step 6: Final answer
    x = 180.89

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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.