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Finding the Fourth Proportional to 192.50, 287.46 and 161.81

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Solution

The fourth proportional to 192.50, 287.46 and 161.81 is: 241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.50 : 287.46 = 161.81 : x
  2. Step 2: Convert to fraction form
    192.50/287.46 = 161.81/x
  3. Step 3: Cross multiply
    192.50x = 287.46 × 161.81
  4. Step 4: Simplify right side
    192.50x = 46,513.90
  5. Step 5: Solve for x
    x = 46,513.90/192.50
  6. Step 6: Final answer
    x = 241.63

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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.