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Finding the Fourth Proportional to 324.20, 483.18 and 323.69

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Solution

The fourth proportional to 324.20, 483.18 and 323.69 is: 482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.20 : 483.18 = 323.69 : x
  2. Step 2: Convert to fraction form
    324.20/483.18 = 323.69/x
  3. Step 3: Cross multiply
    324.20x = 483.18 × 323.69
  4. Step 4: Simplify right side
    324.20x = 156,400.53
  5. Step 5: Solve for x
    x = 156,400.53/324.20
  6. Step 6: Final answer
    x = 482.42

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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.