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Finding the Fourth Proportional to 138.63, 192.59 and 137.36

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Solution

The fourth proportional to 138.63, 192.59 and 137.36 is: 190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.63 : 192.59 = 137.36 : x
  2. Step 2: Convert to fraction form
    138.63/192.59 = 137.36/x
  3. Step 3: Cross multiply
    138.63x = 192.59 × 137.36
  4. Step 4: Simplify right side
    138.63x = 26,454.99
  5. Step 5: Solve for x
    x = 26,454.99/138.63
  6. Step 6: Final answer
    x = 190.83

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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.