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Finding the Fourth Proportional to 166.28, 248.30 and 154.94

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Solution

The fourth proportional to 166.28, 248.30 and 154.94 is: 231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.28 : 248.30 = 154.94 : x
  2. Step 2: Convert to fraction form
    166.28/248.30 = 154.94/x
  3. Step 3: Cross multiply
    166.28x = 248.30 × 154.94
  4. Step 4: Simplify right side
    166.28x = 38,471.60
  5. Step 5: Solve for x
    x = 38,471.60/166.28
  6. Step 6: Final answer
    x = 231.37

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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.