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Finding the Fourth Proportional to 322.74, 480.78 and 302.82

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Solution

The fourth proportional to 322.74, 480.78 and 302.82 is: 451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.74 : 480.78 = 302.82 : x
  2. Step 2: Convert to fraction form
    322.74/480.78 = 302.82/x
  3. Step 3: Cross multiply
    322.74x = 480.78 × 302.82
  4. Step 4: Simplify right side
    322.74x = 145,589.80
  5. Step 5: Solve for x
    x = 145,589.80/322.74
  6. Step 6: Final answer
    x = 451.11

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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.