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Finding the Fourth Proportional to 409.92, 616.32 and 337.92

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Solution

The fourth proportional to 409.92, 616.32 and 337.92 is: 508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.92 : 616.32 = 337.92 : x
  2. Step 2: Convert to fraction form
    409.92/616.32 = 337.92/x
  3. Step 3: Cross multiply
    409.92x = 616.32 × 337.92
  4. Step 4: Simplify right side
    409.92x = 208,266.85
  5. Step 5: Solve for x
    x = 208,266.85/409.92
  6. Step 6: Final answer
    x = 508.07

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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.