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Finding the Fourth Proportional to 118.50, 178.60 and 108.26

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Solution

The fourth proportional to 118.50, 178.60 and 108.26 is: 163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.50 : 178.60 = 108.26 : x
  2. Step 2: Convert to fraction form
    118.50/178.60 = 108.26/x
  3. Step 3: Cross multiply
    118.50x = 178.60 × 108.26
  4. Step 4: Simplify right side
    118.50x = 19,335.24
  5. Step 5: Solve for x
    x = 19,335.24/118.50
  6. Step 6: Final answer
    x = 163.17

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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.