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Finding the Fourth Proportional to 343.75, 512.68 and 310.96

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Solution

The fourth proportional to 343.75, 512.68 and 310.96 is: 463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.75 : 512.68 = 310.96 : x
  2. Step 2: Convert to fraction form
    343.75/512.68 = 310.96/x
  3. Step 3: Cross multiply
    343.75x = 512.68 × 310.96
  4. Step 4: Simplify right side
    343.75x = 159,422.97
  5. Step 5: Solve for x
    x = 159,422.97/343.75
  6. Step 6: Final answer
    x = 463.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.