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Finding the Fourth Proportional to 408.09, 563.90 and 319.80

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Solution

The fourth proportional to 408.09, 563.90 and 319.80 is: 441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.09 : 563.90 = 319.80 : x
  2. Step 2: Convert to fraction form
    408.09/563.90 = 319.80/x
  3. Step 3: Cross multiply
    408.09x = 563.90 × 319.80
  4. Step 4: Simplify right side
    408.09x = 180,333.62
  5. Step 5: Solve for x
    x = 180,333.62/408.09
  6. Step 6: Final answer
    x = 441.90

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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.