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Finding the Fourth Proportional to 324.12, 482.10 and 323.09

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Solution

The fourth proportional to 324.12, 482.10 and 323.09 is: 480.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.12 : 482.10 = 323.09 : x
  2. Step 2: Convert to fraction form
    324.12/482.10 = 323.09/x
  3. Step 3: Cross multiply
    324.12x = 482.10 × 323.09
  4. Step 4: Simplify right side
    324.12x = 155,759.28
  5. Step 5: Solve for x
    x = 155,759.28/324.12
  6. Step 6: Final answer
    x = 480.56

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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.