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Finding the Fourth Proportional to 163.26, 243.54 and 135.90

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Solution

The fourth proportional to 163.26, 243.54 and 135.90 is: 202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.26 : 243.54 = 135.90 : x
  2. Step 2: Convert to fraction form
    163.26/243.54 = 135.90/x
  3. Step 3: Cross multiply
    163.26x = 243.54 × 135.90
  4. Step 4: Simplify right side
    163.26x = 33,097.09
  5. Step 5: Solve for x
    x = 33,097.09/163.26
  6. Step 6: Final answer
    x = 202.73

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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.