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Finding the Fourth Proportional to 192.33, 286.83 and 170.64

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Solution

The fourth proportional to 192.33, 286.83 and 170.64 is: 254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.33 : 286.83 = 170.64 : x
  2. Step 2: Convert to fraction form
    192.33/286.83 = 170.64/x
  3. Step 3: Cross multiply
    192.33x = 286.83 × 170.64
  4. Step 4: Simplify right side
    192.33x = 48,944.67
  5. Step 5: Solve for x
    x = 48,944.67/192.33
  6. Step 6: Final answer
    x = 254.48

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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.