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Finding the Fourth Proportional to 198.50, 273.91 and 115.59

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Solution

The fourth proportional to 198.50, 273.91 and 115.59 is: 159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.50 : 273.91 = 115.59 : x
  2. Step 2: Convert to fraction form
    198.50/273.91 = 115.59/x
  3. Step 3: Cross multiply
    198.50x = 273.91 × 115.59
  4. Step 4: Simplify right side
    198.50x = 31,661.26
  5. Step 5: Solve for x
    x = 31,661.26/198.50
  6. Step 6: Final answer
    x = 159.50

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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.