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Finding the Fourth Proportional to 188.41, 281.80 and 161.68

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Solution

The fourth proportional to 188.41, 281.80 and 161.68 is: 241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.41 : 281.80 = 161.68 : x
  2. Step 2: Convert to fraction form
    188.41/281.80 = 161.68/x
  3. Step 3: Cross multiply
    188.41x = 281.80 × 161.68
  4. Step 4: Simplify right side
    188.41x = 45,561.42
  5. Step 5: Solve for x
    x = 45,561.42/188.41
  6. Step 6: Final answer
    x = 241.82

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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.