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Finding the Fourth Proportional to 164.17, 226.65 and 109

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Solution

The fourth proportional to 164.17, 226.65 and 109 is: 150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.17 : 226.65 = 109 : x
  2. Step 2: Convert to fraction form
    164.17/226.65 = 109/x
  3. Step 3: Cross multiply
    164.17x = 226.65 × 109
  4. Step 4: Simplify right side
    164.17x = 24,704.85
  5. Step 5: Solve for x
    x = 24,704.85/164.17
  6. Step 6: Final answer
    x = 150.48

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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.