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Finding the Fourth Proportional to 166.08, 248.77 and 125.38

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Solution

The fourth proportional to 166.08, 248.77 and 125.38 is: 187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.08 : 248.77 = 125.38 : x
  2. Step 2: Convert to fraction form
    166.08/248.77 = 125.38/x
  3. Step 3: Cross multiply
    166.08x = 248.77 × 125.38
  4. Step 4: Simplify right side
    166.08x = 31,190.78
  5. Step 5: Solve for x
    x = 31,190.78/166.08
  6. Step 6: Final answer
    x = 187.81

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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.