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Finding the Fourth Proportional to 118.82, 179.24 and 110.18

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Solution

The fourth proportional to 118.82, 179.24 and 110.18 is: 166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.82 : 179.24 = 110.18 : x
  2. Step 2: Convert to fraction form
    118.82/179.24 = 110.18/x
  3. Step 3: Cross multiply
    118.82x = 179.24 × 110.18
  4. Step 4: Simplify right side
    118.82x = 19,748.66
  5. Step 5: Solve for x
    x = 19,748.66/118.82
  6. Step 6: Final answer
    x = 166.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.