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Finding the Fourth Proportional to 635.20, 952.14 and 224.05

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Solution

The fourth proportional to 635.20, 952.14 and 224.05 is: 335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.20 : 952.14 = 224.05 : x
  2. Step 2: Convert to fraction form
    635.20/952.14 = 224.05/x
  3. Step 3: Cross multiply
    635.20x = 952.14 × 224.05
  4. Step 4: Simplify right side
    635.20x = 213,326.97
  5. Step 5: Solve for x
    x = 213,326.97/635.20
  6. Step 6: Final answer
    x = 335.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.