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Finding the Fourth Proportional to 166.56, 248.54 and 149.25

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Solution

The fourth proportional to 166.56, 248.54 and 149.25 is: 222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.56 : 248.54 = 149.25 : x
  2. Step 2: Convert to fraction form
    166.56/248.54 = 149.25/x
  3. Step 3: Cross multiply
    166.56x = 248.54 × 149.25
  4. Step 4: Simplify right side
    166.56x = 37,093.85
  5. Step 5: Solve for x
    x = 37,093.85/166.56
  6. Step 6: Final answer
    x = 222.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.