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Finding the Fourth Proportional to 192.33, 287.25 and 161.91

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Solution

The fourth proportional to 192.33, 287.25 and 161.91 is: 241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.33 : 287.25 = 161.91 : x
  2. Step 2: Convert to fraction form
    192.33/287.25 = 161.91/x
  3. Step 3: Cross multiply
    192.33x = 287.25 × 161.91
  4. Step 4: Simplify right side
    192.33x = 46,508.65
  5. Step 5: Solve for x
    x = 46,508.65/192.33
  6. Step 6: Final answer
    x = 241.82

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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.