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Finding the Fourth Proportional to 166.86, 248.90 and 163.20

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Solution

The fourth proportional to 166.86, 248.90 and 163.20 is: 243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 248.90 = 163.20 : x
  2. Step 2: Convert to fraction form
    166.86/248.90 = 163.20/x
  3. Step 3: Cross multiply
    166.86x = 248.90 × 163.20
  4. Step 4: Simplify right side
    166.86x = 40,619.66
  5. Step 5: Solve for x
    x = 40,619.66/166.86
  6. Step 6: Final answer
    x = 243.44

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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.