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Finding the Fourth Proportional to 323.25, 482.25 and 320.82

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Solution

The fourth proportional to 323.25, 482.25 and 320.82 is: 478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.25 : 482.25 = 320.82 : x
  2. Step 2: Convert to fraction form
    323.25/482.25 = 320.82/x
  3. Step 3: Cross multiply
    323.25x = 482.25 × 320.82
  4. Step 4: Simplify right side
    323.25x = 154,715.45
  5. Step 5: Solve for x
    x = 154,715.45/323.25
  6. Step 6: Final answer
    x = 478.62

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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.