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Finding the Fourth Proportional to 408.54, 562.54 and 320.38

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Solution

The fourth proportional to 408.54, 562.54 and 320.38 is: 441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.54 : 562.54 = 320.38 : x
  2. Step 2: Convert to fraction form
    408.54/562.54 = 320.38/x
  3. Step 3: Cross multiply
    408.54x = 562.54 × 320.38
  4. Step 4: Simplify right side
    408.54x = 180,226.57
  5. Step 5: Solve for x
    x = 180,226.57/408.54
  6. Step 6: Final answer
    x = 441.15

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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.