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Finding the Fourth Proportional to 226.86, 313.16 and 161.35

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Solution

The fourth proportional to 226.86, 313.16 and 161.35 is: 222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.86 : 313.16 = 161.35 : x
  2. Step 2: Convert to fraction form
    226.86/313.16 = 161.35/x
  3. Step 3: Cross multiply
    226.86x = 313.16 × 161.35
  4. Step 4: Simplify right side
    226.86x = 50,527.99
  5. Step 5: Solve for x
    x = 50,527.99/226.86
  6. Step 6: Final answer
    x = 222.73

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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.