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Finding the Fourth Proportional to 192.69, 287.42 and 161.91

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Solution

The fourth proportional to 192.69, 287.42 and 161.91 is: 241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.69 : 287.42 = 161.91 : x
  2. Step 2: Convert to fraction form
    192.69/287.42 = 161.91/x
  3. Step 3: Cross multiply
    192.69x = 287.42 × 161.91
  4. Step 4: Simplify right side
    192.69x = 46,535.36
  5. Step 5: Solve for x
    x = 46,535.36/192.69
  6. Step 6: Final answer
    x = 241.50

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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.