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Finding the Fourth Proportional to 226.96, 313.02 and 161.44

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Solution

The fourth proportional to 226.96, 313.02 and 161.44 is: 222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.96 : 313.02 = 161.44 : x
  2. Step 2: Convert to fraction form
    226.96/313.02 = 161.44/x
  3. Step 3: Cross multiply
    226.96x = 313.02 × 161.44
  4. Step 4: Simplify right side
    226.96x = 50,533.95
  5. Step 5: Solve for x
    x = 50,533.95/226.96
  6. Step 6: Final answer
    x = 222.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.