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Finding the Fourth Proportional to 442.52, 663.60 and 198.96

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Solution

The fourth proportional to 442.52, 663.60 and 198.96 is: 298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.52 : 663.60 = 198.96 : x
  2. Step 2: Convert to fraction form
    442.52/663.60 = 198.96/x
  3. Step 3: Cross multiply
    442.52x = 663.60 × 198.96
  4. Step 4: Simplify right side
    442.52x = 132,029.86
  5. Step 5: Solve for x
    x = 132,029.86/442.52
  6. Step 6: Final answer
    x = 298.36

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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.