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Finding the Fourth Proportional to 297.20, 443.98 and 295.76

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Solution

The fourth proportional to 297.20, 443.98 and 295.76 is: 441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.20 : 443.98 = 295.76 : x
  2. Step 2: Convert to fraction form
    297.20/443.98 = 295.76/x
  3. Step 3: Cross multiply
    297.20x = 443.98 × 295.76
  4. Step 4: Simplify right side
    297.20x = 131,311.52
  5. Step 5: Solve for x
    x = 131,311.52/297.20
  6. Step 6: Final answer
    x = 441.83

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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.