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Finding the Fourth Proportional to 187.06, 258.09 and 108.34

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Solution

The fourth proportional to 187.06, 258.09 and 108.34 is: 149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.06 : 258.09 = 108.34 : x
  2. Step 2: Convert to fraction form
    187.06/258.09 = 108.34/x
  3. Step 3: Cross multiply
    187.06x = 258.09 × 108.34
  4. Step 4: Simplify right side
    187.06x = 27,961.47
  5. Step 5: Solve for x
    x = 27,961.47/187.06
  6. Step 6: Final answer
    x = 149.48

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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.