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Finding the Fourth Proportional to 188.66, 281.85 and 119.63

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Solution

The fourth proportional to 188.66, 281.85 and 119.63 is: 178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.66 : 281.85 = 119.63 : x
  2. Step 2: Convert to fraction form
    188.66/281.85 = 119.63/x
  3. Step 3: Cross multiply
    188.66x = 281.85 × 119.63
  4. Step 4: Simplify right side
    188.66x = 33,716.31
  5. Step 5: Solve for x
    x = 33,716.31/188.66
  6. Step 6: Final answer
    x = 178.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.