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Finding the Fourth Proportional to 226.89, 313.13 and 160.61

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Solution

The fourth proportional to 226.89, 313.13 and 160.61 is: 221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.89 : 313.13 = 160.61 : x
  2. Step 2: Convert to fraction form
    226.89/313.13 = 160.61/x
  3. Step 3: Cross multiply
    226.89x = 313.13 × 160.61
  4. Step 4: Simplify right side
    226.89x = 50,290.65
  5. Step 5: Solve for x
    x = 50,290.65/226.89
  6. Step 6: Final answer
    x = 221.65

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