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Finding the Fourth Proportional to 297.87, 449.43 and 295.44

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Solution

The fourth proportional to 297.87, 449.43 and 295.44 is: 445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.87 : 449.43 = 295.44 : x
  2. Step 2: Convert to fraction form
    297.87/449.43 = 295.44/x
  3. Step 3: Cross multiply
    297.87x = 449.43 × 295.44
  4. Step 4: Simplify right side
    297.87x = 132,779.60
  5. Step 5: Solve for x
    x = 132,779.60/297.87
  6. Step 6: Final answer
    x = 445.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.