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Finding the Fourth Proportional to 198.50, 273.93 and 115.66

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Solution

The fourth proportional to 198.50, 273.93 and 115.66 is: 159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.50 : 273.93 = 115.66 : x
  2. Step 2: Convert to fraction form
    198.50/273.93 = 115.66/x
  3. Step 3: Cross multiply
    198.50x = 273.93 × 115.66
  4. Step 4: Simplify right side
    198.50x = 31,682.87
  5. Step 5: Solve for x
    x = 31,682.87/198.50
  6. Step 6: Final answer
    x = 159.61

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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.