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Finding the Fourth Proportional to 296.43, 443.86 and 198.78

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Solution

The fourth proportional to 296.43, 443.86 and 198.78 is: 297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.43 : 443.86 = 198.78 : x
  2. Step 2: Convert to fraction form
    296.43/443.86 = 198.78/x
  3. Step 3: Cross multiply
    296.43x = 443.86 × 198.78
  4. Step 4: Simplify right side
    296.43x = 88,230.49
  5. Step 5: Solve for x
    x = 88,230.49/296.43
  6. Step 6: Final answer
    x = 297.64

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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.