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Finding the Fourth Proportional to 166.33, 248.34 and 164.68

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Solution

The fourth proportional to 166.33, 248.34 and 164.68 is: 245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.33 : 248.34 = 164.68 : x
  2. Step 2: Convert to fraction form
    166.33/248.34 = 164.68/x
  3. Step 3: Cross multiply
    166.33x = 248.34 × 164.68
  4. Step 4: Simplify right side
    166.33x = 40,896.63
  5. Step 5: Solve for x
    x = 40,896.63/166.33
  6. Step 6: Final answer
    x = 245.88

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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.