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Finding the Fourth Proportional to 227.16, 310.95 and 219.78

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Solution

The fourth proportional to 227.16, 310.95 and 219.78 is: 300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.16 : 310.95 = 219.78 : x
  2. Step 2: Convert to fraction form
    227.16/310.95 = 219.78/x
  3. Step 3: Cross multiply
    227.16x = 310.95 × 219.78
  4. Step 4: Simplify right side
    227.16x = 68,340.59
  5. Step 5: Solve for x
    x = 68,340.59/227.16
  6. Step 6: Final answer
    x = 300.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.