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Finding the Fourth Proportional to 323.82, 482.13 and 322.20

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Solution

The fourth proportional to 323.82, 482.13 and 322.20 is: 479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.82 : 482.13 = 322.20 : x
  2. Step 2: Convert to fraction form
    323.82/482.13 = 322.20/x
  3. Step 3: Cross multiply
    323.82x = 482.13 × 322.20
  4. Step 4: Simplify right side
    323.82x = 155,342.29
  5. Step 5: Solve for x
    x = 155,342.29/323.82
  6. Step 6: Final answer
    x = 479.72

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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.