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Finding the Fourth Proportional to 164.38, 226.92 and 109.16

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Solution

The fourth proportional to 164.38, 226.92 and 109.16 is: 150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.38 : 226.92 = 109.16 : x
  2. Step 2: Convert to fraction form
    164.38/226.92 = 109.16/x
  3. Step 3: Cross multiply
    164.38x = 226.92 × 109.16
  4. Step 4: Simplify right side
    164.38x = 24,770.59
  5. Step 5: Solve for x
    x = 24,770.59/164.38
  6. Step 6: Final answer
    x = 150.69

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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.