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Finding the Fourth Proportional to 166.14, 248.76 and 84.96

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Solution

The fourth proportional to 166.14, 248.76 and 84.96 is: 127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.14 : 248.76 = 84.96 : x
  2. Step 2: Convert to fraction form
    166.14/248.76 = 84.96/x
  3. Step 3: Cross multiply
    166.14x = 248.76 × 84.96
  4. Step 4: Simplify right side
    166.14x = 21,134.65
  5. Step 5: Solve for x
    x = 21,134.65/166.14
  6. Step 6: Final answer
    x = 127.21

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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.