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Finding the Fourth Proportional to 198.18, 296.79 and 169.12

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Solution

The fourth proportional to 198.18, 296.79 and 169.12 is: 253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.18 : 296.79 = 169.12 : x
  2. Step 2: Convert to fraction form
    198.18/296.79 = 169.12/x
  3. Step 3: Cross multiply
    198.18x = 296.79 × 169.12
  4. Step 4: Simplify right side
    198.18x = 50,193.12
  5. Step 5: Solve for x
    x = 50,193.12/198.18
  6. Step 6: Final answer
    x = 253.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.