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Finding the Fourth Proportional to 408.38, 563.63 and 320.90

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Solution

The fourth proportional to 408.38, 563.63 and 320.90 is: 442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.38 : 563.63 = 320.90 : x
  2. Step 2: Convert to fraction form
    408.38/563.63 = 320.90/x
  3. Step 3: Cross multiply
    408.38x = 563.63 × 320.90
  4. Step 4: Simplify right side
    408.38x = 180,864.44
  5. Step 5: Solve for x
    x = 180,864.44/408.38
  6. Step 6: Final answer
    x = 442.89

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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.