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Finding the Fourth Proportional to 442.72, 663.76 and 199.12

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Solution

The fourth proportional to 442.72, 663.76 and 199.12 is: 298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.72 : 663.76 = 199.12 : x
  2. Step 2: Convert to fraction form
    442.72/663.76 = 199.12/x
  3. Step 3: Cross multiply
    442.72x = 663.76 × 199.12
  4. Step 4: Simplify right side
    442.72x = 132,167.89
  5. Step 5: Solve for x
    x = 132,167.89/442.72
  6. Step 6: Final answer
    x = 298.54

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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.