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Finding the Fourth Proportional to 394.27, 588.36 and 346.28

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Solution

The fourth proportional to 394.27, 588.36 and 346.28 is: 516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.27 : 588.36 = 346.28 : x
  2. Step 2: Convert to fraction form
    394.27/588.36 = 346.28/x
  3. Step 3: Cross multiply
    394.27x = 588.36 × 346.28
  4. Step 4: Simplify right side
    394.27x = 203,735.66
  5. Step 5: Solve for x
    x = 203,735.66/394.27
  6. Step 6: Final answer
    x = 516.74

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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.