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Finding the Fourth Proportional to 198.17, 273.58 and 128.27

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Solution

The fourth proportional to 198.17, 273.58 and 128.27 is: 177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.17 : 273.58 = 128.27 : x
  2. Step 2: Convert to fraction form
    198.17/273.58 = 128.27/x
  3. Step 3: Cross multiply
    198.17x = 273.58 × 128.27
  4. Step 4: Simplify right side
    198.17x = 35,092.11
  5. Step 5: Solve for x
    x = 35,092.11/198.17
  6. Step 6: Final answer
    x = 177.08

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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.