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Finding the Fourth Proportional to 118.26, 178.61 and 118.26

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Solution

The fourth proportional to 118.26, 178.61 and 118.26 is: 178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.26 : 178.61 = 118.26 : x
  2. Step 2: Convert to fraction form
    118.26/178.61 = 118.26/x
  3. Step 3: Cross multiply
    118.26x = 178.61 × 118.26
  4. Step 4: Simplify right side
    118.26x = 21,121.83
  5. Step 5: Solve for x
    x = 21,121.83/118.26
  6. Step 6: Final answer
    x = 178.61

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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.