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Finding the Fourth Proportional to 166.76, 249.82 and 121

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Solution

The fourth proportional to 166.76, 249.82 and 121 is: 181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.76 : 249.82 = 121 : x
  2. Step 2: Convert to fraction form
    166.76/249.82 = 121/x
  3. Step 3: Cross multiply
    166.76x = 249.82 × 121
  4. Step 4: Simplify right side
    166.76x = 30,228.22
  5. Step 5: Solve for x
    x = 30,228.22/166.76
  6. Step 6: Final answer
    x = 181.27

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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.