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Finding the Fourth Proportional to 198.61, 273.99 and 123.86

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Solution

The fourth proportional to 198.61, 273.99 and 123.86 is: 170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.61 : 273.99 = 123.86 : x
  2. Step 2: Convert to fraction form
    198.61/273.99 = 123.86/x
  3. Step 3: Cross multiply
    198.61x = 273.99 × 123.86
  4. Step 4: Simplify right side
    198.61x = 33,936.40
  5. Step 5: Solve for x
    x = 33,936.40/198.61
  6. Step 6: Final answer
    x = 170.87

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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.