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Finding the Fourth Proportional to 198.50, 273.93 and 129.50

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Solution

The fourth proportional to 198.50, 273.93 and 129.50 is: 178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.50 : 273.93 = 129.50 : x
  2. Step 2: Convert to fraction form
    198.50/273.93 = 129.50/x
  3. Step 3: Cross multiply
    198.50x = 273.93 × 129.50
  4. Step 4: Simplify right side
    198.50x = 35,473.94
  5. Step 5: Solve for x
    x = 35,473.94/198.50
  6. Step 6: Final answer
    x = 178.71

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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.