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Finding the Fourth Proportional to 408.12, 563.17 and 231.07

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Solution

The fourth proportional to 408.12, 563.17 and 231.07 is: 318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.12 : 563.17 = 231.07 : x
  2. Step 2: Convert to fraction form
    408.12/563.17 = 231.07/x
  3. Step 3: Cross multiply
    408.12x = 563.17 × 231.07
  4. Step 4: Simplify right side
    408.12x = 130,131.20
  5. Step 5: Solve for x
    x = 130,131.20/408.12
  6. Step 6: Final answer
    x = 318.85

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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.