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Finding the Fourth Proportional to 393.14, 588.89 and 344.54

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Solution

The fourth proportional to 393.14, 588.89 and 344.54 is: 516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.14 : 588.89 = 344.54 : x
  2. Step 2: Convert to fraction form
    393.14/588.89 = 344.54/x
  3. Step 3: Cross multiply
    393.14x = 588.89 × 344.54
  4. Step 4: Simplify right side
    393.14x = 202,891.49
  5. Step 5: Solve for x
    x = 202,891.49/393.14
  6. Step 6: Final answer
    x = 516.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.