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Finding the Fourth Proportional to 408.57, 563.98 and 251.42

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Solution

The fourth proportional to 408.57, 563.98 and 251.42 is: 347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.57 : 563.98 = 251.42 : x
  2. Step 2: Convert to fraction form
    408.57/563.98 = 251.42/x
  3. Step 3: Cross multiply
    408.57x = 563.98 × 251.42
  4. Step 4: Simplify right side
    408.57x = 141,795.17
  5. Step 5: Solve for x
    x = 141,795.17/408.57
  6. Step 6: Final answer
    x = 347.05

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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.