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Finding the Fourth Proportional to 219.52, 327.68 and 198.96

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Solution

The fourth proportional to 219.52, 327.68 and 198.96 is: 296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.52 : 327.68 = 198.96 : x
  2. Step 2: Convert to fraction form
    219.52/327.68 = 198.96/x
  3. Step 3: Cross multiply
    219.52x = 327.68 × 198.96
  4. Step 4: Simplify right side
    219.52x = 65,195.21
  5. Step 5: Solve for x
    x = 65,195.21/219.52
  6. Step 6: Final answer
    x = 296.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.