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Finding the Fourth Proportional to 187.97, 282.49 and 91.85

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Solution

The fourth proportional to 187.97, 282.49 and 91.85 is: 138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.97 : 282.49 = 91.85 : x
  2. Step 2: Convert to fraction form
    187.97/282.49 = 91.85/x
  3. Step 3: Cross multiply
    187.97x = 282.49 × 91.85
  4. Step 4: Simplify right side
    187.97x = 25,945.06
  5. Step 5: Solve for x
    x = 25,945.06/187.97
  6. Step 6: Final answer
    x = 138.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.