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Finding the Fourth Proportional to 442.32, 663.76 and 198.88

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Solution

The fourth proportional to 442.32, 663.76 and 198.88 is: 298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.32 : 663.76 = 198.88 : x
  2. Step 2: Convert to fraction form
    442.32/663.76 = 198.88/x
  3. Step 3: Cross multiply
    442.32x = 663.76 × 198.88
  4. Step 4: Simplify right side
    442.32x = 132,008.59
  5. Step 5: Solve for x
    x = 132,008.59/442.32
  6. Step 6: Final answer
    x = 298.45

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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.