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Finding the Fourth Proportional to 187.09, 258.20 and 108.42

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Solution

The fourth proportional to 187.09, 258.20 and 108.42 is: 149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.09 : 258.20 = 108.42 : x
  2. Step 2: Convert to fraction form
    187.09/258.20 = 108.42/x
  3. Step 3: Cross multiply
    187.09x = 258.20 × 108.42
  4. Step 4: Simplify right side
    187.09x = 27,994.04
  5. Step 5: Solve for x
    x = 27,994.04/187.09
  6. Step 6: Final answer
    x = 149.63

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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.