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Finding the Fourth Proportional to 192.87, 266.39 and 163.46

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Solution

The fourth proportional to 192.87, 266.39 and 163.46 is: 225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.87 : 266.39 = 163.46 : x
  2. Step 2: Convert to fraction form
    192.87/266.39 = 163.46/x
  3. Step 3: Cross multiply
    192.87x = 266.39 × 163.46
  4. Step 4: Simplify right side
    192.87x = 43,541.96
  5. Step 5: Solve for x
    x = 43,541.96/192.87
  6. Step 6: Final answer
    x = 225.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.