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Finding the Fourth Proportional to 229.22, 313.83 and 226.99

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Solution

The fourth proportional to 229.22, 313.83 and 226.99 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.22 : 313.83 = 226.99 : x
  2. Step 2: Convert to fraction form
    229.22/313.83 = 226.99/x
  3. Step 3: Cross multiply
    229.22x = 313.83 × 226.99
  4. Step 4: Simplify right side
    229.22x = 71,236.27
  5. Step 5: Solve for x
    x = 71,236.27/229.22
  6. Step 6: Final answer
    x = 310.78

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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.