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Finding the Fourth Proportional to 227.94, 314.78 and 196.56

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Solution

The fourth proportional to 227.94, 314.78 and 196.56 is: 271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.94 : 314.78 = 196.56 : x
  2. Step 2: Convert to fraction form
    227.94/314.78 = 196.56/x
  3. Step 3: Cross multiply
    227.94x = 314.78 × 196.56
  4. Step 4: Simplify right side
    227.94x = 61,872.17
  5. Step 5: Solve for x
    x = 61,872.17/227.94
  6. Step 6: Final answer
    x = 271.44

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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.