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Finding the Fourth Proportional to 163.25, 243.60 and 145.94

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Solution

The fourth proportional to 163.25, 243.60 and 145.94 is: 217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.25 : 243.60 = 145.94 : x
  2. Step 2: Convert to fraction form
    163.25/243.60 = 145.94/x
  3. Step 3: Cross multiply
    163.25x = 243.60 × 145.94
  4. Step 4: Simplify right side
    163.25x = 35,550.74
  5. Step 5: Solve for x
    x = 35,550.74/163.25
  6. Step 6: Final answer
    x = 217.78

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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.