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Finding the Fourth Proportional to 408.54, 563.64 and 251.12

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Solution

The fourth proportional to 408.54, 563.64 and 251.12 is: 346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.54 : 563.64 = 251.12 : x
  2. Step 2: Convert to fraction form
    408.54/563.64 = 251.12/x
  3. Step 3: Cross multiply
    408.54x = 563.64 × 251.12
  4. Step 4: Simplify right side
    408.54x = 141,538.46
  5. Step 5: Solve for x
    x = 141,538.46/408.54
  6. Step 6: Final answer
    x = 346.45

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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.