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Finding the Fourth Proportional to 324.70, 484.85 and 255.44

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Solution

The fourth proportional to 324.70, 484.85 and 255.44 is: 381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.70 : 484.85 = 255.44 : x
  2. Step 2: Convert to fraction form
    324.70/484.85 = 255.44/x
  3. Step 3: Cross multiply
    324.70x = 484.85 × 255.44
  4. Step 4: Simplify right side
    324.70x = 123,850.08
  5. Step 5: Solve for x
    x = 123,850.08/324.70
  6. Step 6: Final answer
    x = 381.43

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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.