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Finding the Fourth Proportional to 198.46, 273.98 and 124.89

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Solution

The fourth proportional to 198.46, 273.98 and 124.89 is: 172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.46 : 273.98 = 124.89 : x
  2. Step 2: Convert to fraction form
    198.46/273.98 = 124.89/x
  3. Step 3: Cross multiply
    198.46x = 273.98 × 124.89
  4. Step 4: Simplify right side
    198.46x = 34,217.36
  5. Step 5: Solve for x
    x = 34,217.36/198.46
  6. Step 6: Final answer
    x = 172.41

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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.