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Finding the Fourth Proportional to 462.42, 637.46 and 331.20

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Solution

The fourth proportional to 462.42, 637.46 and 331.20 is: 456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.42 : 637.46 = 331.20 : x
  2. Step 2: Convert to fraction form
    462.42/637.46 = 331.20/x
  3. Step 3: Cross multiply
    462.42x = 637.46 × 331.20
  4. Step 4: Simplify right side
    462.42x = 211,121.91
  5. Step 5: Solve for x
    x = 211,121.91/462.42
  6. Step 6: Final answer
    x = 456.56

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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.