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Finding the Fourth Proportional to 329.10, 452.97 and 310.20

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Solution

The fourth proportional to 329.10, 452.97 and 310.20 is: 426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.10 : 452.97 = 310.20 : x
  2. Step 2: Convert to fraction form
    329.10/452.97 = 310.20/x
  3. Step 3: Cross multiply
    329.10x = 452.97 × 310.20
  4. Step 4: Simplify right side
    329.10x = 140,511.29
  5. Step 5: Solve for x
    x = 140,511.29/329.10
  6. Step 6: Final answer
    x = 426.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.