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Finding the Fourth Proportional to 118.73, 164.97 and 117.25

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Solution

The fourth proportional to 118.73, 164.97 and 117.25 is: 162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.73 : 164.97 = 117.25 : x
  2. Step 2: Convert to fraction form
    118.73/164.97 = 117.25/x
  3. Step 3: Cross multiply
    118.73x = 164.97 × 117.25
  4. Step 4: Simplify right side
    118.73x = 19,342.32
  5. Step 5: Solve for x
    x = 19,342.32/118.73
  6. Step 6: Final answer
    x = 162.91

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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.