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Finding the Fourth Proportional to 322.78, 484.17 and 304.55

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Solution

The fourth proportional to 322.78, 484.17 and 304.55 is: 456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.78 : 484.17 = 304.55 : x
  2. Step 2: Convert to fraction form
    322.78/484.17 = 304.55/x
  3. Step 3: Cross multiply
    322.78x = 484.17 × 304.55
  4. Step 4: Simplify right side
    322.78x = 147,452.45
  5. Step 5: Solve for x
    x = 147,452.45/322.78
  6. Step 6: Final answer
    x = 456.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.