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Finding the Fourth Proportional to 118.84, 164.06 and 82.20

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Solution

The fourth proportional to 118.84, 164.06 and 82.20 is: 113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.84 : 164.06 = 82.20 : x
  2. Step 2: Convert to fraction form
    118.84/164.06 = 82.20/x
  3. Step 3: Cross multiply
    118.84x = 164.06 × 82.20
  4. Step 4: Simplify right side
    118.84x = 13,485.73
  5. Step 5: Solve for x
    x = 13,485.73/118.84
  6. Step 6: Final answer
    x = 113.48

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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.