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Finding the Fourth Proportional to 461.92, 638.16 and 345.76

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Solution

The fourth proportional to 461.92, 638.16 and 345.76 is: 477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.92 : 638.16 = 345.76 : x
  2. Step 2: Convert to fraction form
    461.92/638.16 = 345.76/x
  3. Step 3: Cross multiply
    461.92x = 638.16 × 345.76
  4. Step 4: Simplify right side
    461.92x = 220,650.20
  5. Step 5: Solve for x
    x = 220,650.20/461.92
  6. Step 6: Final answer
    x = 477.68

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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.