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Finding the Fourth Proportional to 198.22, 273.30 and 128.17

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Solution

The fourth proportional to 198.22, 273.30 and 128.17 is: 176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.22 : 273.30 = 128.17 : x
  2. Step 2: Convert to fraction form
    198.22/273.30 = 128.17/x
  3. Step 3: Cross multiply
    198.22x = 273.30 × 128.17
  4. Step 4: Simplify right side
    198.22x = 35,028.86
  5. Step 5: Solve for x
    x = 35,028.86/198.22
  6. Step 6: Final answer
    x = 176.72

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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.