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Finding the Fourth Proportional to 223.81, 308.46 and 164.68

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Solution

The fourth proportional to 223.81, 308.46 and 164.68 is: 226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.81 : 308.46 = 164.68 : x
  2. Step 2: Convert to fraction form
    223.81/308.46 = 164.68/x
  3. Step 3: Cross multiply
    223.81x = 308.46 × 164.68
  4. Step 4: Simplify right side
    223.81x = 50,797.85
  5. Step 5: Solve for x
    x = 50,797.85/223.81
  6. Step 6: Final answer
    x = 226.97

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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.