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Finding the Fourth Proportional to 339.23, 508.81 and 217.55

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Solution

The fourth proportional to 339.23, 508.81 and 217.55 is: 326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.23 : 508.81 = 217.55 : x
  2. Step 2: Convert to fraction form
    339.23/508.81 = 217.55/x
  3. Step 3: Cross multiply
    339.23x = 508.81 × 217.55
  4. Step 4: Simplify right side
    339.23x = 110,691.62
  5. Step 5: Solve for x
    x = 110,691.62/339.23
  6. Step 6: Final answer
    x = 326.30

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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.