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Finding the Fourth Proportional to 414.32, 620.87 and 198.05

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Solution

The fourth proportional to 414.32, 620.87 and 198.05 is: 296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.32 : 620.87 = 198.05 : x
  2. Step 2: Convert to fraction form
    414.32/620.87 = 198.05/x
  3. Step 3: Cross multiply
    414.32x = 620.87 × 198.05
  4. Step 4: Simplify right side
    414.32x = 122,959.21
  5. Step 5: Solve for x
    x = 122,959.21/414.32
  6. Step 6: Final answer
    x = 296.78

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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.