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Finding the Fourth Proportional to 166.96, 250.09 and 108.98

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Solution

The fourth proportional to 166.96, 250.09 and 108.98 is: 163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.96 : 250.09 = 108.98 : x
  2. Step 2: Convert to fraction form
    166.96/250.09 = 108.98/x
  3. Step 3: Cross multiply
    166.96x = 250.09 × 108.98
  4. Step 4: Simplify right side
    166.96x = 27,254.22
  5. Step 5: Solve for x
    x = 27,254.22/166.96
  6. Step 6: Final answer
    x = 163.24

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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.