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Finding the Fourth Proportional to 408.78, 564.12 and 234.13

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Solution

The fourth proportional to 408.78, 564.12 and 234.13 is: 323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.78 : 564.12 = 234.13 : x
  2. Step 2: Convert to fraction form
    408.78/564.12 = 234.13/x
  3. Step 3: Cross multiply
    408.78x = 564.12 × 234.13
  4. Step 4: Simplify right side
    408.78x = 132,077.42
  5. Step 5: Solve for x
    x = 132,077.42/408.78
  6. Step 6: Final answer
    x = 323.10

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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.