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Finding the Fourth Proportional to 323.31, 443.27 and 317.47

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Solution

The fourth proportional to 323.31, 443.27 and 317.47 is: 435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.31 : 443.27 = 317.47 : x
  2. Step 2: Convert to fraction form
    323.31/443.27 = 317.47/x
  3. Step 3: Cross multiply
    323.31x = 443.27 × 317.47
  4. Step 4: Simplify right side
    323.31x = 140,724.93
  5. Step 5: Solve for x
    x = 140,724.93/323.31
  6. Step 6: Final answer
    x = 435.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.