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Finding the Fourth Proportional to 323.92, 443.80 and 319.87

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Solution

The fourth proportional to 323.92, 443.80 and 319.87 is: 438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.92 : 443.80 = 319.87 : x
  2. Step 2: Convert to fraction form
    323.92/443.80 = 319.87/x
  3. Step 3: Cross multiply
    323.92x = 443.80 × 319.87
  4. Step 4: Simplify right side
    323.92x = 141,958.31
  5. Step 5: Solve for x
    x = 141,958.31/323.92
  6. Step 6: Final answer
    x = 438.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.