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Finding the Fourth Proportional to 339.38, 467.94 and 269.21

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Solution

The fourth proportional to 339.38, 467.94 and 269.21 is: 371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.38 : 467.94 = 269.21 : x
  2. Step 2: Convert to fraction form
    339.38/467.94 = 269.21/x
  3. Step 3: Cross multiply
    339.38x = 467.94 × 269.21
  4. Step 4: Simplify right side
    339.38x = 125,974.13
  5. Step 5: Solve for x
    x = 125,974.13/339.38
  6. Step 6: Final answer
    x = 371.19

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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.