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Finding the Fourth Proportional to 220.92, 331.42 and 198.24

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Solution

The fourth proportional to 220.92, 331.42 and 198.24 is: 297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.92 : 331.42 = 198.24 : x
  2. Step 2: Convert to fraction form
    220.92/331.42 = 198.24/x
  3. Step 3: Cross multiply
    220.92x = 331.42 × 198.24
  4. Step 4: Simplify right side
    220.92x = 65,700.70
  5. Step 5: Solve for x
    x = 65,700.70/220.92
  6. Step 6: Final answer
    x = 297.40

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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.