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Finding the Fourth Proportional to 322.79, 480.29 and 321.71

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Solution

The fourth proportional to 322.79, 480.29 and 321.71 is: 478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.79 : 480.29 = 321.71 : x
  2. Step 2: Convert to fraction form
    322.79/480.29 = 321.71/x
  3. Step 3: Cross multiply
    322.79x = 480.29 × 321.71
  4. Step 4: Simplify right side
    322.79x = 154,512.50
  5. Step 5: Solve for x
    x = 154,512.50/322.79
  6. Step 6: Final answer
    x = 478.69

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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.