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Finding the Fourth Proportional to 322.88, 480.46 and 321.80

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Solution

The fourth proportional to 322.88, 480.46 and 321.80 is: 478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.88 : 480.46 = 321.80 : x
  2. Step 2: Convert to fraction form
    322.88/480.46 = 321.80/x
  3. Step 3: Cross multiply
    322.88x = 480.46 × 321.80
  4. Step 4: Simplify right side
    322.88x = 154,612.03
  5. Step 5: Solve for x
    x = 154,612.03/322.88
  6. Step 6: Final answer
    x = 478.85

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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.