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Finding the Fourth Proportional to 140.02, 209.46 and 131.83

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Solution

The fourth proportional to 140.02, 209.46 and 131.83 is: 197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.02 : 209.46 = 131.83 : x
  2. Step 2: Convert to fraction form
    140.02/209.46 = 131.83/x
  3. Step 3: Cross multiply
    140.02x = 209.46 × 131.83
  4. Step 4: Simplify right side
    140.02x = 27,613.11
  5. Step 5: Solve for x
    x = 27,613.11/140.02
  6. Step 6: Final answer
    x = 197.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.