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Finding the Fourth Proportional to 140.60, 209.81 and 126.95

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Solution

The fourth proportional to 140.60, 209.81 and 126.95 is: 189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.60 : 209.81 = 126.95 : x
  2. Step 2: Convert to fraction form
    140.60/209.81 = 126.95/x
  3. Step 3: Cross multiply
    140.60x = 209.81 × 126.95
  4. Step 4: Simplify right side
    140.60x = 26,634.65
  5. Step 5: Solve for x
    x = 26,634.65/140.60
  6. Step 6: Final answer
    x = 189.43

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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.