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Finding the Fourth Proportional to 408.59, 564.01 and 251.25

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Solution

The fourth proportional to 408.59, 564.01 and 251.25 is: 346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.59 : 564.01 = 251.25 : x
  2. Step 2: Convert to fraction form
    408.59/564.01 = 251.25/x
  3. Step 3: Cross multiply
    408.59x = 564.01 × 251.25
  4. Step 4: Simplify right side
    408.59x = 141,709.36
  5. Step 5: Solve for x
    x = 141,709.36/408.59
  6. Step 6: Final answer
    x = 346.82

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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.