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Finding the Fourth Proportional to 227.04, 311.27 and 222.94

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Solution

The fourth proportional to 227.04, 311.27 and 222.94 is: 305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.04 : 311.27 = 222.94 : x
  2. Step 2: Convert to fraction form
    227.04/311.27 = 222.94/x
  3. Step 3: Cross multiply
    227.04x = 311.27 × 222.94
  4. Step 4: Simplify right side
    227.04x = 69,395.06
  5. Step 5: Solve for x
    x = 69,395.06/227.04
  6. Step 6: Final answer
    x = 305.65

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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.