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Finding the Fourth Proportional to 165.43, 246.40 and 163.29

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Solution

The fourth proportional to 165.43, 246.40 and 163.29 is: 243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.43 : 246.40 = 163.29 : x
  2. Step 2: Convert to fraction form
    165.43/246.40 = 163.29/x
  3. Step 3: Cross multiply
    165.43x = 246.40 × 163.29
  4. Step 4: Simplify right side
    165.43x = 40,234.66
  5. Step 5: Solve for x
    x = 40,234.66/165.43
  6. Step 6: Final answer
    x = 243.21

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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.