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Finding the Fourth Proportional to 137.71, 205.44 and 127.89

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Solution

The fourth proportional to 137.71, 205.44 and 127.89 is: 190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.71 : 205.44 = 127.89 : x
  2. Step 2: Convert to fraction form
    137.71/205.44 = 127.89/x
  3. Step 3: Cross multiply
    137.71x = 205.44 × 127.89
  4. Step 4: Simplify right side
    137.71x = 26,273.72
  5. Step 5: Solve for x
    x = 26,273.72/137.71
  6. Step 6: Final answer
    x = 190.79

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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.