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Finding the Fourth Proportional to 408.68, 564.10 and 234.14

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Solution

The fourth proportional to 408.68, 564.10 and 234.14 is: 323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.68 : 564.10 = 234.14 : x
  2. Step 2: Convert to fraction form
    408.68/564.10 = 234.14/x
  3. Step 3: Cross multiply
    408.68x = 564.10 × 234.14
  4. Step 4: Simplify right side
    408.68x = 132,078.37
  5. Step 5: Solve for x
    x = 132,078.37/408.68
  6. Step 6: Final answer
    x = 323.18

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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.