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Finding the Fourth Proportional to 192.28, 286.94 and 171.77

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Solution

The fourth proportional to 192.28, 286.94 and 171.77 is: 256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.28 : 286.94 = 171.77 : x
  2. Step 2: Convert to fraction form
    192.28/286.94 = 171.77/x
  3. Step 3: Cross multiply
    192.28x = 286.94 × 171.77
  4. Step 4: Simplify right side
    192.28x = 49,287.68
  5. Step 5: Solve for x
    x = 49,287.68/192.28
  6. Step 6: Final answer
    x = 256.33

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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.