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Finding the Fourth Proportional to 192.92, 290.43 and 149.84

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Solution

The fourth proportional to 192.92, 290.43 and 149.84 is: 225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.92 : 290.43 = 149.84 : x
  2. Step 2: Convert to fraction form
    192.92/290.43 = 149.84/x
  3. Step 3: Cross multiply
    192.92x = 290.43 × 149.84
  4. Step 4: Simplify right side
    192.92x = 43,517.28
  5. Step 5: Solve for x
    x = 43,517.28/192.92
  6. Step 6: Final answer
    x = 225.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.