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Finding the Fourth Proportional to 138.20, 190.85 and 136.37

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Solution

The fourth proportional to 138.20, 190.85 and 136.37 is: 188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.20 : 190.85 = 136.37 : x
  2. Step 2: Convert to fraction form
    138.20/190.85 = 136.37/x
  3. Step 3: Cross multiply
    138.20x = 190.85 × 136.37
  4. Step 4: Simplify right side
    138.20x = 26,024.58
  5. Step 5: Solve for x
    x = 26,024.58/138.20
  6. Step 6: Final answer
    x = 188.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.