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Finding the Fourth Proportional to 188.28, 281.04 and 166.09

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Solution

The fourth proportional to 188.28, 281.04 and 166.09 is: 247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.28 : 281.04 = 166.09 : x
  2. Step 2: Convert to fraction form
    188.28/281.04 = 166.09/x
  3. Step 3: Cross multiply
    188.28x = 281.04 × 166.09
  4. Step 4: Simplify right side
    188.28x = 46,676.14
  5. Step 5: Solve for x
    x = 46,676.14/188.28
  6. Step 6: Final answer
    x = 247.91

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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.