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Finding the Fourth Proportional to 408.19, 563.17 and 231.13

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Solution

The fourth proportional to 408.19, 563.17 and 231.13 is: 318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.19 : 563.17 = 231.13 : x
  2. Step 2: Convert to fraction form
    408.19/563.17 = 231.13/x
  3. Step 3: Cross multiply
    408.19x = 563.17 × 231.13
  4. Step 4: Simplify right side
    408.19x = 130,164.33
  5. Step 5: Solve for x
    x = 130,164.33/408.19
  6. Step 6: Final answer
    x = 318.88

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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.