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Finding the Fourth Proportional to 166.22, 248.11 and 154

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Solution

The fourth proportional to 166.22, 248.11 and 154 is: 229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.22 : 248.11 = 154 : x
  2. Step 2: Convert to fraction form
    166.22/248.11 = 154/x
  3. Step 3: Cross multiply
    166.22x = 248.11 × 154
  4. Step 4: Simplify right side
    166.22x = 38,208.94
  5. Step 5: Solve for x
    x = 38,208.94/166.22
  6. Step 6: Final answer
    x = 229.87

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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.