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Finding the Fourth Proportional to 408.75, 564.08 and 234.10

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Solution

The fourth proportional to 408.75, 564.08 and 234.10 is: 323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.75 : 564.08 = 234.10 : x
  2. Step 2: Convert to fraction form
    408.75/564.08 = 234.10/x
  3. Step 3: Cross multiply
    408.75x = 564.08 × 234.10
  4. Step 4: Simplify right side
    408.75x = 132,051.13
  5. Step 5: Solve for x
    x = 132,051.13/408.75
  6. Step 6: Final answer
    x = 323.06

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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.