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Finding the Fourth Proportional to 226.54, 339.61 and 168.69

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Solution

The fourth proportional to 226.54, 339.61 and 168.69 is: 252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.54 : 339.61 = 168.69 : x
  2. Step 2: Convert to fraction form
    226.54/339.61 = 168.69/x
  3. Step 3: Cross multiply
    226.54x = 339.61 × 168.69
  4. Step 4: Simplify right side
    226.54x = 57,288.81
  5. Step 5: Solve for x
    x = 57,288.81/226.54
  6. Step 6: Final answer
    x = 252.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.