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Finding the Fourth Proportional to 250.97, 378.61 and 224.24

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Solution

The fourth proportional to 250.97, 378.61 and 224.24 is: 338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.97 : 378.61 = 224.24 : x
  2. Step 2: Convert to fraction form
    250.97/378.61 = 224.24/x
  3. Step 3: Cross multiply
    250.97x = 378.61 × 224.24
  4. Step 4: Simplify right side
    250.97x = 84,897.05
  5. Step 5: Solve for x
    x = 84,897.05/250.97
  6. Step 6: Final answer
    x = 338.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.