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Finding the Fourth Proportional to 408.47, 563.67 and 231.47

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Solution

The fourth proportional to 408.47, 563.67 and 231.47 is: 319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.47 : 563.67 = 231.47 : x
  2. Step 2: Convert to fraction form
    408.47/563.67 = 231.47/x
  3. Step 3: Cross multiply
    408.47x = 563.67 × 231.47
  4. Step 4: Simplify right side
    408.47x = 130,473.53
  5. Step 5: Solve for x
    x = 130,473.53/408.47
  6. Step 6: Final answer
    x = 319.42

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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.