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Finding the Fourth Proportional to 187.75, 281.72 and 91.59

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Solution

The fourth proportional to 187.75, 281.72 and 91.59 is: 137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.75 : 281.72 = 91.59 : x
  2. Step 2: Convert to fraction form
    187.75/281.72 = 91.59/x
  3. Step 3: Cross multiply
    187.75x = 281.72 × 91.59
  4. Step 4: Simplify right side
    187.75x = 25,802.73
  5. Step 5: Solve for x
    x = 25,802.73/187.75
  6. Step 6: Final answer
    x = 137.43

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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.