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Finding the Fourth Proportional to 227.52, 311.76 and 222.84

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Solution

The fourth proportional to 227.52, 311.76 and 222.84 is: 305.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.52 : 311.76 = 222.84 : x
  2. Step 2: Convert to fraction form
    227.52/311.76 = 222.84/x
  3. Step 3: Cross multiply
    227.52x = 311.76 × 222.84
  4. Step 4: Simplify right side
    227.52x = 69,472.60
  5. Step 5: Solve for x
    x = 69,472.60/227.52
  6. Step 6: Final answer
    x = 305.35

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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.