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Finding the Fourth Proportional to 137.44, 204.89 and 134.80

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Solution

The fourth proportional to 137.44, 204.89 and 134.80 is: 200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.44 : 204.89 = 134.80 : x
  2. Step 2: Convert to fraction form
    137.44/204.89 = 134.80/x
  3. Step 3: Cross multiply
    137.44x = 204.89 × 134.80
  4. Step 4: Simplify right side
    137.44x = 27,619.17
  5. Step 5: Solve for x
    x = 27,619.17/137.44
  6. Step 6: Final answer
    x = 200.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.