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Finding the Fourth Proportional to 163.47, 243.64 and 163.22

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Solution

The fourth proportional to 163.47, 243.64 and 163.22 is: 243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.47 : 243.64 = 163.22 : x
  2. Step 2: Convert to fraction form
    163.47/243.64 = 163.22/x
  3. Step 3: Cross multiply
    163.47x = 243.64 × 163.22
  4. Step 4: Simplify right side
    163.47x = 39,766.92
  5. Step 5: Solve for x
    x = 39,766.92/163.47
  6. Step 6: Final answer
    x = 243.27

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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.