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Finding the Fourth Proportional to 198.67, 273.86 and 124.86

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Solution

The fourth proportional to 198.67, 273.86 and 124.86 is: 172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.67 : 273.86 = 124.86 : x
  2. Step 2: Convert to fraction form
    198.67/273.86 = 124.86/x
  3. Step 3: Cross multiply
    198.67x = 273.86 × 124.86
  4. Step 4: Simplify right side
    198.67x = 34,194.16
  5. Step 5: Solve for x
    x = 34,194.16/198.67
  6. Step 6: Final answer
    x = 172.12

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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.