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Finding the Fourth Proportional to 322.08, 480.96 and 252.82

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Solution

The fourth proportional to 322.08, 480.96 and 252.82 is: 377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.08 : 480.96 = 252.82 : x
  2. Step 2: Convert to fraction form
    322.08/480.96 = 252.82/x
  3. Step 3: Cross multiply
    322.08x = 480.96 × 252.82
  4. Step 4: Simplify right side
    322.08x = 121,595.04
  5. Step 5: Solve for x
    x = 121,595.04/322.08
  6. Step 6: Final answer
    x = 377.54

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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.