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Finding the Fourth Proportional to 227.04, 311.28 and 222.72

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Solution

The fourth proportional to 227.04, 311.28 and 222.72 is: 305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.04 : 311.28 = 222.72 : x
  2. Step 2: Convert to fraction form
    227.04/311.28 = 222.72/x
  3. Step 3: Cross multiply
    227.04x = 311.28 × 222.72
  4. Step 4: Simplify right side
    227.04x = 69,328.28
  5. Step 5: Solve for x
    x = 69,328.28/227.04
  6. Step 6: Final answer
    x = 305.36

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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.