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Finding the Fourth Proportional to 227.26, 313.27 and 187.44

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Solution

The fourth proportional to 227.26, 313.27 and 187.44 is: 258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.26 : 313.27 = 187.44 : x
  2. Step 2: Convert to fraction form
    227.26/313.27 = 187.44/x
  3. Step 3: Cross multiply
    227.26x = 313.27 × 187.44
  4. Step 4: Simplify right side
    227.26x = 58,719.33
  5. Step 5: Solve for x
    x = 58,719.33/227.26
  6. Step 6: Final answer
    x = 258.38

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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.