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Finding the Fourth Proportional to 166.12, 247.67 and 153.96

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Solution

The fourth proportional to 166.12, 247.67 and 153.96 is: 229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.12 : 247.67 = 153.96 : x
  2. Step 2: Convert to fraction form
    166.12/247.67 = 153.96/x
  3. Step 3: Cross multiply
    166.12x = 247.67 × 153.96
  4. Step 4: Simplify right side
    166.12x = 38,131.27
  5. Step 5: Solve for x
    x = 38,131.27/166.12
  6. Step 6: Final answer
    x = 229.54

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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.