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Finding the Fourth Proportional to 296.29, 443.85 and 198.49

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Solution

The fourth proportional to 296.29, 443.85 and 198.49 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.29 : 443.85 = 198.49 : x
  2. Step 2: Convert to fraction form
    296.29/443.85 = 198.49/x
  3. Step 3: Cross multiply
    296.29x = 443.85 × 198.49
  4. Step 4: Simplify right side
    296.29x = 88,099.79
  5. Step 5: Solve for x
    x = 88,099.79/296.29
  6. Step 6: Final answer
    x = 297.34

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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.