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Finding the Fourth Proportional to 198.77, 273.89 and 128.75

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Solution

The fourth proportional to 198.77, 273.89 and 128.75 is: 177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.77 : 273.89 = 128.75 : x
  2. Step 2: Convert to fraction form
    198.77/273.89 = 128.75/x
  3. Step 3: Cross multiply
    198.77x = 273.89 × 128.75
  4. Step 4: Simplify right side
    198.77x = 35,262.29
  5. Step 5: Solve for x
    x = 35,262.29/198.77
  6. Step 6: Final answer
    x = 177.41

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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.