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Finding the Fourth Proportional to 119.81, 180.02 and 109.49

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Solution

The fourth proportional to 119.81, 180.02 and 109.49 is: 164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.81 : 180.02 = 109.49 : x
  2. Step 2: Convert to fraction form
    119.81/180.02 = 109.49/x
  3. Step 3: Cross multiply
    119.81x = 180.02 × 109.49
  4. Step 4: Simplify right side
    119.81x = 19,709.76
  5. Step 5: Solve for x
    x = 19,709.76/119.81
  6. Step 6: Final answer
    x = 164.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.