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Finding the Fourth Proportional to 224.22, 335.87 and 142.68

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Solution

The fourth proportional to 224.22, 335.87 and 142.68 is: 213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.22 : 335.87 = 142.68 : x
  2. Step 2: Convert to fraction form
    224.22/335.87 = 142.68/x
  3. Step 3: Cross multiply
    224.22x = 335.87 × 142.68
  4. Step 4: Simplify right side
    224.22x = 47,921.93
  5. Step 5: Solve for x
    x = 47,921.93/224.22
  6. Step 6: Final answer
    x = 213.73

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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.