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Finding the Fourth Proportional to 166.09, 227.97 and 148.22

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Solution

The fourth proportional to 166.09, 227.97 and 148.22 is: 203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.09 : 227.97 = 148.22 : x
  2. Step 2: Convert to fraction form
    166.09/227.97 = 148.22/x
  3. Step 3: Cross multiply
    166.09x = 227.97 × 148.22
  4. Step 4: Simplify right side
    166.09x = 33,789.71
  5. Step 5: Solve for x
    x = 33,789.71/166.09
  6. Step 6: Final answer
    x = 203.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.