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Finding the Fourth Proportional to 442.62, 610.46 and 331.44

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Solution

The fourth proportional to 442.62, 610.46 and 331.44 is: 457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.62 : 610.46 = 331.44 : x
  2. Step 2: Convert to fraction form
    442.62/610.46 = 331.44/x
  3. Step 3: Cross multiply
    442.62x = 610.46 × 331.44
  4. Step 4: Simplify right side
    442.62x = 202,330.86
  5. Step 5: Solve for x
    x = 202,330.86/442.62
  6. Step 6: Final answer
    x = 457.12

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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.