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Finding the Fourth Proportional to 339.39, 508.28 and 270.97

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Solution

The fourth proportional to 339.39, 508.28 and 270.97 is: 405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.39 : 508.28 = 270.97 : x
  2. Step 2: Convert to fraction form
    339.39/508.28 = 270.97/x
  3. Step 3: Cross multiply
    339.39x = 508.28 × 270.97
  4. Step 4: Simplify right side
    339.39x = 137,727.44
  5. Step 5: Solve for x
    x = 137,727.44/339.39
  6. Step 6: Final answer
    x = 405.81

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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.