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Finding the Fourth Proportional to 164.43, 226.98 and 109.15

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Solution

The fourth proportional to 164.43, 226.98 and 109.15 is: 150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.43 : 226.98 = 109.15 : x
  2. Step 2: Convert to fraction form
    164.43/226.98 = 109.15/x
  3. Step 3: Cross multiply
    164.43x = 226.98 × 109.15
  4. Step 4: Simplify right side
    164.43x = 24,773.99
  5. Step 5: Solve for x
    x = 24,773.99/164.43
  6. Step 6: Final answer
    x = 150.67

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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.