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Finding the Fourth Proportional to 164.28, 226.67 and 111.92

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Solution

The fourth proportional to 164.28, 226.67 and 111.92 is: 154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.28 : 226.67 = 111.92 : x
  2. Step 2: Convert to fraction form
    164.28/226.67 = 111.92/x
  3. Step 3: Cross multiply
    164.28x = 226.67 × 111.92
  4. Step 4: Simplify right side
    164.28x = 25,367.21
  5. Step 5: Solve for x
    x = 25,367.21/164.28
  6. Step 6: Final answer
    x = 154.41

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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.