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Finding the Fourth Proportional to 165.09, 246.45 and 163.38

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Solution

The fourth proportional to 165.09, 246.45 and 163.38 is: 243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.09 : 246.45 = 163.38 : x
  2. Step 2: Convert to fraction form
    165.09/246.45 = 163.38/x
  3. Step 3: Cross multiply
    165.09x = 246.45 × 163.38
  4. Step 4: Simplify right side
    165.09x = 40,265.00
  5. Step 5: Solve for x
    x = 40,265.00/165.09
  6. Step 6: Final answer
    x = 243.90

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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.