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Finding the Fourth Proportional to 408.11, 562.70 and 355.46

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Solution

The fourth proportional to 408.11, 562.70 and 355.46 is: 490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.11 : 562.70 = 355.46 : x
  2. Step 2: Convert to fraction form
    408.11/562.70 = 355.46/x
  3. Step 3: Cross multiply
    408.11x = 562.70 × 355.46
  4. Step 4: Simplify right side
    408.11x = 200,015.56
  5. Step 5: Solve for x
    x = 200,015.56/408.11
  6. Step 6: Final answer
    x = 490.10

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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.