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Finding the Fourth Proportional to 187.60, 281.31 and 119.08

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Solution

The fourth proportional to 187.60, 281.31 and 119.08 is: 178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.60 : 281.31 = 119.08 : x
  2. Step 2: Convert to fraction form
    187.60/281.31 = 119.08/x
  3. Step 3: Cross multiply
    187.60x = 281.31 × 119.08
  4. Step 4: Simplify right side
    187.60x = 33,496.99
  5. Step 5: Solve for x
    x = 33,496.99/187.60
  6. Step 6: Final answer
    x = 178.55

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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.