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Finding the Fourth Proportional to 166.32, 249.63 and 85.21

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Solution

The fourth proportional to 166.32, 249.63 and 85.21 is: 127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.32 : 249.63 = 85.21 : x
  2. Step 2: Convert to fraction form
    166.32/249.63 = 85.21/x
  3. Step 3: Cross multiply
    166.32x = 249.63 × 85.21
  4. Step 4: Simplify right side
    166.32x = 21,270.97
  5. Step 5: Solve for x
    x = 21,270.97/166.32
  6. Step 6: Final answer
    x = 127.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.