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Finding the Fourth Proportional to 227.64, 312.31 and 221.56

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Solution

The fourth proportional to 227.64, 312.31 and 221.56 is: 303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.64 : 312.31 = 221.56 : x
  2. Step 2: Convert to fraction form
    227.64/312.31 = 221.56/x
  3. Step 3: Cross multiply
    227.64x = 312.31 × 221.56
  4. Step 4: Simplify right side
    227.64x = 69,195.40
  5. Step 5: Solve for x
    x = 69,195.40/227.64
  6. Step 6: Final answer
    x = 303.97

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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.