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Finding the Fourth Proportional to 119.92, 166.38 and 118.84

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Solution

The fourth proportional to 119.92, 166.38 and 118.84 is: 164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.92 : 166.38 = 118.84 : x
  2. Step 2: Convert to fraction form
    119.92/166.38 = 118.84/x
  3. Step 3: Cross multiply
    119.92x = 166.38 × 118.84
  4. Step 4: Simplify right side
    119.92x = 19,772.60
  5. Step 5: Solve for x
    x = 19,772.60/119.92
  6. Step 6: Final answer
    x = 164.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.