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Finding the Fourth Proportional to 118.36, 178.41 and 110.52

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Solution

The fourth proportional to 118.36, 178.41 and 110.52 is: 166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.36 : 178.41 = 110.52 : x
  2. Step 2: Convert to fraction form
    118.36/178.41 = 110.52/x
  3. Step 3: Cross multiply
    118.36x = 178.41 × 110.52
  4. Step 4: Simplify right side
    118.36x = 19,717.87
  5. Step 5: Solve for x
    x = 19,717.87/118.36
  6. Step 6: Final answer
    x = 166.59

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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.