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Finding the Fourth Proportional to 166.12, 248.76 and 94

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Solution

The fourth proportional to 166.12, 248.76 and 94 is: 140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.12 : 248.76 = 94 : x
  2. Step 2: Convert to fraction form
    166.12/248.76 = 94/x
  3. Step 3: Cross multiply
    166.12x = 248.76 × 94
  4. Step 4: Simplify right side
    166.12x = 23,383.44
  5. Step 5: Solve for x
    x = 23,383.44/166.12
  6. Step 6: Final answer
    x = 140.76

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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.