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Finding the Fourth Proportional to 166.75, 231.22 and 157.43

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Solution

The fourth proportional to 166.75, 231.22 and 157.43 is: 218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 231.22 = 157.43 : x
  2. Step 2: Convert to fraction form
    166.75/231.22 = 157.43/x
  3. Step 3: Cross multiply
    166.75x = 231.22 × 157.43
  4. Step 4: Simplify right side
    166.75x = 36,400.96
  5. Step 5: Solve for x
    x = 36,400.96/166.75
  6. Step 6: Final answer
    x = 218.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.