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Finding the Fourth Proportional to 166.65, 247.94 and 163.41

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Solution

The fourth proportional to 166.65, 247.94 and 163.41 is: 243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.65 : 247.94 = 163.41 : x
  2. Step 2: Convert to fraction form
    166.65/247.94 = 163.41/x
  3. Step 3: Cross multiply
    166.65x = 247.94 × 163.41
  4. Step 4: Simplify right side
    166.65x = 40,515.88
  5. Step 5: Solve for x
    x = 40,515.88/166.65
  6. Step 6: Final answer
    x = 243.12

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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.