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Finding the Fourth Proportional to 408.14, 563.18 and 248.55

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Solution

The fourth proportional to 408.14, 563.18 and 248.55 is: 342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.14 : 563.18 = 248.55 : x
  2. Step 2: Convert to fraction form
    408.14/563.18 = 248.55/x
  3. Step 3: Cross multiply
    408.14x = 563.18 × 248.55
  4. Step 4: Simplify right side
    408.14x = 139,974.33
  5. Step 5: Solve for x
    x = 139,974.33/408.14
  6. Step 6: Final answer
    x = 342.96

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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.