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Finding the Fourth Proportional to 137.78, 191.46 and 136.28

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Solution

The fourth proportional to 137.78, 191.46 and 136.28 is: 189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.78 : 191.46 = 136.28 : x
  2. Step 2: Convert to fraction form
    137.78/191.46 = 136.28/x
  3. Step 3: Cross multiply
    137.78x = 191.46 × 136.28
  4. Step 4: Simplify right side
    137.78x = 26,091.49
  5. Step 5: Solve for x
    x = 26,091.49/137.78
  6. Step 6: Final answer
    x = 189.37

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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.