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Finding the Fourth Proportional to 322.87, 480.82 and 302.11

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Solution

The fourth proportional to 322.87, 480.82 and 302.11 is: 449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.87 : 480.82 = 302.11 : x
  2. Step 2: Convert to fraction form
    322.87/480.82 = 302.11/x
  3. Step 3: Cross multiply
    322.87x = 480.82 × 302.11
  4. Step 4: Simplify right side
    322.87x = 145,260.53
  5. Step 5: Solve for x
    x = 145,260.53/322.87
  6. Step 6: Final answer
    x = 449.90

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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.