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Finding the Fourth Proportional to 323.87, 449.25 and 312.53

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Solution

The fourth proportional to 323.87, 449.25 and 312.53 is: 433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.87 : 449.25 = 312.53 : x
  2. Step 2: Convert to fraction form
    323.87/449.25 = 312.53/x
  3. Step 3: Cross multiply
    323.87x = 449.25 × 312.53
  4. Step 4: Simplify right side
    323.87x = 140,400.68
  5. Step 5: Solve for x
    x = 140,400.68/323.87
  6. Step 6: Final answer
    x = 433.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.