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Finding the Fourth Proportional to 323.10, 443.57 and 278.82

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Solution

The fourth proportional to 323.10, 443.57 and 278.82 is: 382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.10 : 443.57 = 278.82 : x
  2. Step 2: Convert to fraction form
    323.10/443.57 = 278.82/x
  3. Step 3: Cross multiply
    323.10x = 443.57 × 278.82
  4. Step 4: Simplify right side
    323.10x = 123,674.79
  5. Step 5: Solve for x
    x = 123,674.79/323.10
  6. Step 6: Final answer
    x = 382.78

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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.