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Finding the Fourth Proportional to 324.75, 484.92 and 282.83

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Solution

The fourth proportional to 324.75, 484.92 and 282.83 is: 422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.75 : 484.92 = 282.83 : x
  2. Step 2: Convert to fraction form
    324.75/484.92 = 282.83/x
  3. Step 3: Cross multiply
    324.75x = 484.92 × 282.83
  4. Step 4: Simplify right side
    324.75x = 137,149.92
  5. Step 5: Solve for x
    x = 137,149.92/324.75
  6. Step 6: Final answer
    x = 422.32

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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.