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Finding the Fourth Proportional to 166.95, 250.65 and 111.94

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Solution

The fourth proportional to 166.95, 250.65 and 111.94 is: 168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.95 : 250.65 = 111.94 : x
  2. Step 2: Convert to fraction form
    166.95/250.65 = 111.94/x
  3. Step 3: Cross multiply
    166.95x = 250.65 × 111.94
  4. Step 4: Simplify right side
    166.95x = 28,057.13
  5. Step 5: Solve for x
    x = 28,057.13/166.95
  6. Step 6: Final answer
    x = 168.06

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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.