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Finding the Fourth Proportional to 442.54, 609.24 and 331.88

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Solution

The fourth proportional to 442.54, 609.24 and 331.88 is: 456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.54 : 609.24 = 331.88 : x
  2. Step 2: Convert to fraction form
    442.54/609.24 = 331.88/x
  3. Step 3: Cross multiply
    442.54x = 609.24 × 331.88
  4. Step 4: Simplify right side
    442.54x = 202,194.57
  5. Step 5: Solve for x
    x = 202,194.57/442.54
  6. Step 6: Final answer
    x = 456.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.