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Finding the Fourth Proportional to 343.27, 517.89 and 326.19

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Solution

The fourth proportional to 343.27, 517.89 and 326.19 is: 492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.27 : 517.89 = 326.19 : x
  2. Step 2: Convert to fraction form
    343.27/517.89 = 326.19/x
  3. Step 3: Cross multiply
    343.27x = 517.89 × 326.19
  4. Step 4: Simplify right side
    343.27x = 168,933.70
  5. Step 5: Solve for x
    x = 168,933.70/343.27
  6. Step 6: Final answer
    x = 492.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.