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Finding the Fourth Proportional to 323.49, 483.17 and 280.29

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Solution

The fourth proportional to 323.49, 483.17 and 280.29 is: 418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.49 : 483.17 = 280.29 : x
  2. Step 2: Convert to fraction form
    323.49/483.17 = 280.29/x
  3. Step 3: Cross multiply
    323.49x = 483.17 × 280.29
  4. Step 4: Simplify right side
    323.49x = 135,427.72
  5. Step 5: Solve for x
    x = 135,427.72/323.49
  6. Step 6: Final answer
    x = 418.65

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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.