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Finding the Fourth Proportional to 137.76, 191.36 and 135.56

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Solution

The fourth proportional to 137.76, 191.36 and 135.56 is: 188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.76 : 191.36 = 135.56 : x
  2. Step 2: Convert to fraction form
    137.76/191.36 = 135.56/x
  3. Step 3: Cross multiply
    137.76x = 191.36 × 135.56
  4. Step 4: Simplify right side
    137.76x = 25,939.13
  5. Step 5: Solve for x
    x = 25,939.13/137.76
  6. Step 6: Final answer
    x = 188.29

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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.