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Finding the Fourth Proportional to 227.26, 340.69 and 135.73

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Solution

The fourth proportional to 227.26, 340.69 and 135.73 is: 203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.26 : 340.69 = 135.73 : x
  2. Step 2: Convert to fraction form
    227.26/340.69 = 135.73/x
  3. Step 3: Cross multiply
    227.26x = 340.69 × 135.73
  4. Step 4: Simplify right side
    227.26x = 46,241.85
  5. Step 5: Solve for x
    x = 46,241.85/227.26
  6. Step 6: Final answer
    x = 203.48

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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.