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Finding the Fourth Proportional to 166.75, 250.06 and 75.39

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Solution

The fourth proportional to 166.75, 250.06 and 75.39 is: 113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 250.06 = 75.39 : x
  2. Step 2: Convert to fraction form
    166.75/250.06 = 75.39/x
  3. Step 3: Cross multiply
    166.75x = 250.06 × 75.39
  4. Step 4: Simplify right side
    166.75x = 18,852.02
  5. Step 5: Solve for x
    x = 18,852.02/166.75
  6. Step 6: Final answer
    x = 113.06

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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.