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Finding the Fourth Proportional to 224.11, 335.79 and 194.90

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Solution

The fourth proportional to 224.11, 335.79 and 194.90 is: 292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.11 : 335.79 = 194.90 : x
  2. Step 2: Convert to fraction form
    224.11/335.79 = 194.90/x
  3. Step 3: Cross multiply
    224.11x = 335.79 × 194.90
  4. Step 4: Simplify right side
    224.11x = 65,443.79
  5. Step 5: Solve for x
    x = 65,443.79/224.11
  6. Step 6: Final answer
    x = 292.02

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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.