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Finding the Fourth Proportional to 339.27, 467.42 and 286.73

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Solution

The fourth proportional to 339.27, 467.42 and 286.73 is: 395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.27 : 467.42 = 286.73 : x
  2. Step 2: Convert to fraction form
    339.27/467.42 = 286.73/x
  3. Step 3: Cross multiply
    339.27x = 467.42 × 286.73
  4. Step 4: Simplify right side
    339.27x = 134,019.57
  5. Step 5: Solve for x
    x = 134,019.57/339.27
  6. Step 6: Final answer
    x = 395.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.