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Finding the Fourth Proportional to 414.96, 622.62 and 198.54

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Solution

The fourth proportional to 414.96, 622.62 and 198.54 is: 297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.96 : 622.62 = 198.54 : x
  2. Step 2: Convert to fraction form
    414.96/622.62 = 198.54/x
  3. Step 3: Cross multiply
    414.96x = 622.62 × 198.54
  4. Step 4: Simplify right side
    414.96x = 123,614.97
  5. Step 5: Solve for x
    x = 123,614.97/414.96
  6. Step 6: Final answer
    x = 297.90

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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.