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Finding the Fourth Proportional to 166.40, 230.80 and 163.16

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Solution

The fourth proportional to 166.40, 230.80 and 163.16 is: 226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.40 : 230.80 = 163.16 : x
  2. Step 2: Convert to fraction form
    166.40/230.80 = 163.16/x
  3. Step 3: Cross multiply
    166.40x = 230.80 × 163.16
  4. Step 4: Simplify right side
    166.40x = 37,657.33
  5. Step 5: Solve for x
    x = 37,657.33/166.40
  6. Step 6: Final answer
    x = 226.31

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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.