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Finding the Fourth Proportional to 408.29, 562.25 and 349.06

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Solution

The fourth proportional to 408.29, 562.25 and 349.06 is: 480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.29 : 562.25 = 349.06 : x
  2. Step 2: Convert to fraction form
    408.29/562.25 = 349.06/x
  3. Step 3: Cross multiply
    408.29x = 562.25 × 349.06
  4. Step 4: Simplify right side
    408.29x = 196,254.43
  5. Step 5: Solve for x
    x = 196,254.43/408.29
  6. Step 6: Final answer
    x = 480.68

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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.