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Finding the Fourth Proportional to 166.37, 249.57 and 85.17

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Solution

The fourth proportional to 166.37, 249.57 and 85.17 is: 127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.37 : 249.57 = 85.17 : x
  2. Step 2: Convert to fraction form
    166.37/249.57 = 85.17/x
  3. Step 3: Cross multiply
    166.37x = 249.57 × 85.17
  4. Step 4: Simplify right side
    166.37x = 21,255.88
  5. Step 5: Solve for x
    x = 21,255.88/166.37
  6. Step 6: Final answer
    x = 127.76

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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.