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Finding the Fourth Proportional to 118.97, 164.39 and 104.66

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Solution

The fourth proportional to 118.97, 164.39 and 104.66 is: 144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.97 : 164.39 = 104.66 : x
  2. Step 2: Convert to fraction form
    118.97/164.39 = 104.66/x
  3. Step 3: Cross multiply
    118.97x = 164.39 × 104.66
  4. Step 4: Simplify right side
    118.97x = 17,203.71
  5. Step 5: Solve for x
    x = 17,203.71/118.97
  6. Step 6: Final answer
    x = 144.61

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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.