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Finding the Fourth Proportional to 297.76, 443.72 and 295.24

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Solution

The fourth proportional to 297.76, 443.72 and 295.24 is: 439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.76 : 443.72 = 295.24 : x
  2. Step 2: Convert to fraction form
    297.76/443.72 = 295.24/x
  3. Step 3: Cross multiply
    297.76x = 443.72 × 295.24
  4. Step 4: Simplify right side
    297.76x = 131,003.89
  5. Step 5: Solve for x
    x = 131,003.89/297.76
  6. Step 6: Final answer
    x = 439.96

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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.