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Finding the Fourth Proportional to 442.90, 663.99 and 199.27

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Solution

The fourth proportional to 442.90, 663.99 and 199.27 is: 298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.90 : 663.99 = 199.27 : x
  2. Step 2: Convert to fraction form
    442.90/663.99 = 199.27/x
  3. Step 3: Cross multiply
    442.90x = 663.99 × 199.27
  4. Step 4: Simplify right side
    442.90x = 132,313.29
  5. Step 5: Solve for x
    x = 132,313.29/442.90
  6. Step 6: Final answer
    x = 298.74

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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.