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Finding the Fourth Proportional to 187.89, 281.67 and 79.66

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Solution

The fourth proportional to 187.89, 281.67 and 79.66 is: 119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.89 : 281.67 = 79.66 : x
  2. Step 2: Convert to fraction form
    187.89/281.67 = 79.66/x
  3. Step 3: Cross multiply
    187.89x = 281.67 × 79.66
  4. Step 4: Simplify right side
    187.89x = 22,437.83
  5. Step 5: Solve for x
    x = 22,437.83/187.89
  6. Step 6: Final answer
    x = 119.42

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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.