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Finding the Fourth Proportional to 166.97, 249.99 and 115.33

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Solution

The fourth proportional to 166.97, 249.99 and 115.33 is: 172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.97 : 249.99 = 115.33 : x
  2. Step 2: Convert to fraction form
    166.97/249.99 = 115.33/x
  3. Step 3: Cross multiply
    166.97x = 249.99 × 115.33
  4. Step 4: Simplify right side
    166.97x = 28,829.52
  5. Step 5: Solve for x
    x = 28,829.52/166.97
  6. Step 6: Final answer
    x = 172.67

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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.