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Finding the Fourth Proportional to 227.08, 311.33 and 222.98

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Solution

The fourth proportional to 227.08, 311.33 and 222.98 is: 305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.08 : 311.33 = 222.98 : x
  2. Step 2: Convert to fraction form
    227.08/311.33 = 222.98/x
  3. Step 3: Cross multiply
    227.08x = 311.33 × 222.98
  4. Step 4: Simplify right side
    227.08x = 69,421.70
  5. Step 5: Solve for x
    x = 69,421.70/227.08
  6. Step 6: Final answer
    x = 305.71

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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.