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Finding the Fourth Proportional to 394.97, 589.12 and 343.21

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Solution

The fourth proportional to 394.97, 589.12 and 343.21 is: 511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.97 : 589.12 = 343.21 : x
  2. Step 2: Convert to fraction form
    394.97/589.12 = 343.21/x
  3. Step 3: Cross multiply
    394.97x = 589.12 × 343.21
  4. Step 4: Simplify right side
    394.97x = 202,191.88
  5. Step 5: Solve for x
    x = 202,191.88/394.97
  6. Step 6: Final answer
    x = 511.92

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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.