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Finding the Fourth Proportional to 119.26, 164.49 and 109.45

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Solution

The fourth proportional to 119.26, 164.49 and 109.45 is: 150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.26 : 164.49 = 109.45 : x
  2. Step 2: Convert to fraction form
    119.26/164.49 = 109.45/x
  3. Step 3: Cross multiply
    119.26x = 164.49 × 109.45
  4. Step 4: Simplify right side
    119.26x = 18,003.23
  5. Step 5: Solve for x
    x = 18,003.23/119.26
  6. Step 6: Final answer
    x = 150.96

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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.