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Finding the Fourth Proportional to 166.10, 247.52 and 163.12

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Solution

The fourth proportional to 166.10, 247.52 and 163.12 is: 243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.10 : 247.52 = 163.12 : x
  2. Step 2: Convert to fraction form
    166.10/247.52 = 163.12/x
  3. Step 3: Cross multiply
    166.10x = 247.52 × 163.12
  4. Step 4: Simplify right side
    166.10x = 40,375.46
  5. Step 5: Solve for x
    x = 40,375.46/166.10
  6. Step 6: Final answer
    x = 243.08

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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.