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Finding the Fourth Proportional to 225.05, 335.61 and 196.29

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Solution

The fourth proportional to 225.05, 335.61 and 196.29 is: 292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.05 : 335.61 = 196.29 : x
  2. Step 2: Convert to fraction form
    225.05/335.61 = 196.29/x
  3. Step 3: Cross multiply
    225.05x = 335.61 × 196.29
  4. Step 4: Simplify right side
    225.05x = 65,876.89
  5. Step 5: Solve for x
    x = 65,876.89/225.05
  6. Step 6: Final answer
    x = 292.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.