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Finding the Fourth Proportional to 166.28, 248.96 and 84.95

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Solution

The fourth proportional to 166.28, 248.96 and 84.95 is: 127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.28 : 248.96 = 84.95 : x
  2. Step 2: Convert to fraction form
    166.28/248.96 = 84.95/x
  3. Step 3: Cross multiply
    166.28x = 248.96 × 84.95
  4. Step 4: Simplify right side
    166.28x = 21,147.48
  5. Step 5: Solve for x
    x = 21,147.48/166.28
  6. Step 6: Final answer
    x = 127.18

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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.