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Finding the Fourth Proportional to 198.05, 272.92 and 164.78

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Solution

The fourth proportional to 198.05, 272.92 and 164.78 is: 227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.05 : 272.92 = 164.78 : x
  2. Step 2: Convert to fraction form
    198.05/272.92 = 164.78/x
  3. Step 3: Cross multiply
    198.05x = 272.92 × 164.78
  4. Step 4: Simplify right side
    198.05x = 44,972.85
  5. Step 5: Solve for x
    x = 44,972.85/198.05
  6. Step 6: Final answer
    x = 227.08

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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.