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Finding the Fourth Proportional to 226.96, 313.20 and 160.56

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Solution

The fourth proportional to 226.96, 313.20 and 160.56 is: 221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.96 : 313.20 = 160.56 : x
  2. Step 2: Convert to fraction form
    226.96/313.20 = 160.56/x
  3. Step 3: Cross multiply
    226.96x = 313.20 × 160.56
  4. Step 4: Simplify right side
    226.96x = 50,287.39
  5. Step 5: Solve for x
    x = 50,287.39/226.96
  6. Step 6: Final answer
    x = 221.57

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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.