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Finding the Fourth Proportional to 442.25, 663.52 and 198.94

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Solution

The fourth proportional to 442.25, 663.52 and 198.94 is: 298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.25 : 663.52 = 198.94 : x
  2. Step 2: Convert to fraction form
    442.25/663.52 = 198.94/x
  3. Step 3: Cross multiply
    442.25x = 663.52 × 198.94
  4. Step 4: Simplify right side
    442.25x = 132,000.67
  5. Step 5: Solve for x
    x = 132,000.67/442.25
  6. Step 6: Final answer
    x = 298.48

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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.