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Finding the Fourth Proportional to 323.32, 443.27 and 317.48

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Solution

The fourth proportional to 323.32, 443.27 and 317.48 is: 435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.32 : 443.27 = 317.48 : x
  2. Step 2: Convert to fraction form
    323.32/443.27 = 317.48/x
  3. Step 3: Cross multiply
    323.32x = 443.27 × 317.48
  4. Step 4: Simplify right side
    323.32x = 140,727.14
  5. Step 5: Solve for x
    x = 140,727.14/323.32
  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.