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Finding the Fourth Proportional to 166.36, 249.62 and 154.12

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Solution

The fourth proportional to 166.36, 249.62 and 154.12 is: 231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.36 : 249.62 = 154.12 : x
  2. Step 2: Convert to fraction form
    166.36/249.62 = 154.12/x
  3. Step 3: Cross multiply
    166.36x = 249.62 × 154.12
  4. Step 4: Simplify right side
    166.36x = 38,471.43
  5. Step 5: Solve for x
    x = 38,471.43/166.36
  6. Step 6: Final answer
    x = 231.25

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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.