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Finding the Fourth Proportional to 137.85, 205.39 and 135.87

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Solution

The fourth proportional to 137.85, 205.39 and 135.87 is: 202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.85 : 205.39 = 135.87 : x
  2. Step 2: Convert to fraction form
    137.85/205.39 = 135.87/x
  3. Step 3: Cross multiply
    137.85x = 205.39 × 135.87
  4. Step 4: Simplify right side
    137.85x = 27,906.00
  5. Step 5: Solve for x
    x = 27,906.00/137.85
  6. Step 6: Final answer
    x = 202.44

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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.