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Finding the Fourth Proportional to 323.26, 481.82 and 309.69

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Solution

The fourth proportional to 323.26, 481.82 and 309.69 is: 461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.26 : 481.82 = 309.69 : x
  2. Step 2: Convert to fraction form
    323.26/481.82 = 309.69/x
  3. Step 3: Cross multiply
    323.26x = 481.82 × 309.69
  4. Step 4: Simplify right side
    323.26x = 149,213.29
  5. Step 5: Solve for x
    x = 149,213.29/323.26
  6. Step 6: Final answer
    x = 461.59

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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.