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Finding the Fourth Proportional to 138.99, 192.74 and 134.54

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Solution

The fourth proportional to 138.99, 192.74 and 134.54 is: 186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.99 : 192.74 = 134.54 : x
  2. Step 2: Convert to fraction form
    138.99/192.74 = 134.54/x
  3. Step 3: Cross multiply
    138.99x = 192.74 × 134.54
  4. Step 4: Simplify right side
    138.99x = 25,930.61
  5. Step 5: Solve for x
    x = 25,930.61/138.99
  6. Step 6: Final answer
    x = 186.56

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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.