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Finding the Fourth Proportional to 140.57, 209.61 and 130.83

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Solution

The fourth proportional to 140.57, 209.61 and 130.83 is: 195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.57 : 209.61 = 130.83 : x
  2. Step 2: Convert to fraction form
    140.57/209.61 = 130.83/x
  3. Step 3: Cross multiply
    140.57x = 209.61 × 130.83
  4. Step 4: Simplify right side
    140.57x = 27,421.90
  5. Step 5: Solve for x
    x = 27,421.90/140.57
  6. Step 6: Final answer
    x = 195.08

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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.