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Finding the Fourth Proportional to 137.28, 190.76 and 135.78

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Solution

The fourth proportional to 137.28, 190.76 and 135.78 is: 188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.28 : 190.76 = 135.78 : x
  2. Step 2: Convert to fraction form
    137.28/190.76 = 135.78/x
  3. Step 3: Cross multiply
    137.28x = 190.76 × 135.78
  4. Step 4: Simplify right side
    137.28x = 25,901.39
  5. Step 5: Solve for x
    x = 25,901.39/137.28
  6. Step 6: Final answer
    x = 188.68

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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.