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Finding the Fourth Proportional to 166.73, 248.41 and 157.41

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Solution

The fourth proportional to 166.73, 248.41 and 157.41 is: 234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.73 : 248.41 = 157.41 : x
  2. Step 2: Convert to fraction form
    166.73/248.41 = 157.41/x
  3. Step 3: Cross multiply
    166.73x = 248.41 × 157.41
  4. Step 4: Simplify right side
    166.73x = 39,101.82
  5. Step 5: Solve for x
    x = 39,101.82/166.73
  6. Step 6: Final answer
    x = 234.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.