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Finding the Fourth Proportional to 323.30, 482.11 and 320.38

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Solution

The fourth proportional to 323.30, 482.11 and 320.38 is: 477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.30 : 482.11 = 320.38 : x
  2. Step 2: Convert to fraction form
    323.30/482.11 = 320.38/x
  3. Step 3: Cross multiply
    323.30x = 482.11 × 320.38
  4. Step 4: Simplify right side
    323.30x = 154,456.40
  5. Step 5: Solve for x
    x = 154,456.40/323.30
  6. Step 6: Final answer
    x = 477.75

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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.