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Finding the Fourth Proportional to 166.15, 248.91 and 93.79

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Solution

The fourth proportional to 166.15, 248.91 and 93.79 is: 140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.15 : 248.91 = 93.79 : x
  2. Step 2: Convert to fraction form
    166.15/248.91 = 93.79/x
  3. Step 3: Cross multiply
    166.15x = 248.91 × 93.79
  4. Step 4: Simplify right side
    166.15x = 23,345.27
  5. Step 5: Solve for x
    x = 23,345.27/166.15
  6. Step 6: Final answer
    x = 140.51

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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.