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Finding the Fourth Proportional to 137.90, 205.77 and 127.71

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Solution

The fourth proportional to 137.90, 205.77 and 127.71 is: 190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.90 : 205.77 = 127.71 : x
  2. Step 2: Convert to fraction form
    137.90/205.77 = 127.71/x
  3. Step 3: Cross multiply
    137.90x = 205.77 × 127.71
  4. Step 4: Simplify right side
    137.90x = 26,279.37
  5. Step 5: Solve for x
    x = 26,279.37/137.90
  6. Step 6: Final answer
    x = 190.56

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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.