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Finding the Fourth Proportional to 409.36, 616.43 and 344.92

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Solution

The fourth proportional to 409.36, 616.43 and 344.92 is: 519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.36 : 616.43 = 344.92 : x
  2. Step 2: Convert to fraction form
    409.36/616.43 = 344.92/x
  3. Step 3: Cross multiply
    409.36x = 616.43 × 344.92
  4. Step 4: Simplify right side
    409.36x = 212,619.04
  5. Step 5: Solve for x
    x = 212,619.04/409.36
  6. Step 6: Final answer
    x = 519.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.