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Finding the Fourth Proportional to 166.14, 248.95 and 100.97

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Solution

The fourth proportional to 166.14, 248.95 and 100.97 is: 151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.14 : 248.95 = 100.97 : x
  2. Step 2: Convert to fraction form
    166.14/248.95 = 100.97/x
  3. Step 3: Cross multiply
    166.14x = 248.95 × 100.97
  4. Step 4: Simplify right side
    166.14x = 25,136.48
  5. Step 5: Solve for x
    x = 25,136.48/166.14
  6. Step 6: Final answer
    x = 151.30

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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.