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Finding the Fourth Proportional to 442.74, 663.98 and 199.47

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Solution

The fourth proportional to 442.74, 663.98 and 199.47 is: 299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.74 : 663.98 = 199.47 : x
  2. Step 2: Convert to fraction form
    442.74/663.98 = 199.47/x
  3. Step 3: Cross multiply
    442.74x = 663.98 × 199.47
  4. Step 4: Simplify right side
    442.74x = 132,443.09
  5. Step 5: Solve for x
    x = 132,443.09/442.74
  6. Step 6: Final answer
    x = 299.14

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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.