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Finding the Fourth Proportional to 138.68, 192.32 and 133.82

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Solution

The fourth proportional to 138.68, 192.32 and 133.82 is: 185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.68 : 192.32 = 133.82 : x
  2. Step 2: Convert to fraction form
    138.68/192.32 = 133.82/x
  3. Step 3: Cross multiply
    138.68x = 192.32 × 133.82
  4. Step 4: Simplify right side
    138.68x = 25,736.26
  5. Step 5: Solve for x
    x = 25,736.26/138.68
  6. Step 6: Final answer
    x = 185.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.