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Finding the Fourth Proportional to 227.71, 314.22 and 134.44

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Solution

The fourth proportional to 227.71, 314.22 and 134.44 is: 185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.71 : 314.22 = 134.44 : x
  2. Step 2: Convert to fraction form
    227.71/314.22 = 134.44/x
  3. Step 3: Cross multiply
    227.71x = 314.22 × 134.44
  4. Step 4: Simplify right side
    227.71x = 42,243.46
  5. Step 5: Solve for x
    x = 42,243.46/227.71
  6. Step 6: Final answer
    x = 185.51

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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.