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Finding the Fourth Proportional to 323.20, 443.10 and 317.35

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Solution

The fourth proportional to 323.20, 443.10 and 317.35 is: 435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.20 : 443.10 = 317.35 : x
  2. Step 2: Convert to fraction form
    323.20/443.10 = 317.35/x
  3. Step 3: Cross multiply
    323.20x = 443.10 × 317.35
  4. Step 4: Simplify right side
    323.20x = 140,615.97
  5. Step 5: Solve for x
    x = 140,615.97/323.20
  6. Step 6: Final answer
    x = 435.08

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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.