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Finding the Fourth Proportional to 198.92, 274.42 and 140.78

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Solution

The fourth proportional to 198.92, 274.42 and 140.78 is: 194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.92 : 274.42 = 140.78 : x
  2. Step 2: Convert to fraction form
    198.92/274.42 = 140.78/x
  3. Step 3: Cross multiply
    198.92x = 274.42 × 140.78
  4. Step 4: Simplify right side
    198.92x = 38,632.85
  5. Step 5: Solve for x
    x = 38,632.85/198.92
  6. Step 6: Final answer
    x = 194.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.