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Finding the Fourth Proportional to 323.67, 484.56 and 317.91

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Solution

The fourth proportional to 323.67, 484.56 and 317.91 is: 475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.67 : 484.56 = 317.91 : x
  2. Step 2: Convert to fraction form
    323.67/484.56 = 317.91/x
  3. Step 3: Cross multiply
    323.67x = 484.56 × 317.91
  4. Step 4: Simplify right side
    323.67x = 154,046.47
  5. Step 5: Solve for x
    x = 154,046.47/323.67
  6. Step 6: Final answer
    x = 475.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.