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Finding the Fourth Proportional to 198.52, 273.94 and 123.86

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Solution

The fourth proportional to 198.52, 273.94 and 123.86 is: 170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.52 : 273.94 = 123.86 : x
  2. Step 2: Convert to fraction form
    198.52/273.94 = 123.86/x
  3. Step 3: Cross multiply
    198.52x = 273.94 × 123.86
  4. Step 4: Simplify right side
    198.52x = 33,930.58
  5. Step 5: Solve for x
    x = 33,930.58/198.52
  6. Step 6: Final answer
    x = 170.92

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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.