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Finding the Fourth Proportional to 408.73, 564.06 and 234.13

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Solution

The fourth proportional to 408.73, 564.06 and 234.13 is: 323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.73 : 564.06 = 234.13 : x
  2. Step 2: Convert to fraction form
    408.73/564.06 = 234.13/x
  3. Step 3: Cross multiply
    408.73x = 564.06 × 234.13
  4. Step 4: Simplify right side
    408.73x = 132,063.37
  5. Step 5: Solve for x
    x = 132,063.37/408.73
  6. Step 6: Final answer
    x = 323.11

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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.