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Finding the Fourth Proportional to 137.89, 205.61 and 136.27

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Solution

The fourth proportional to 137.89, 205.61 and 136.27 is: 203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.89 : 205.61 = 136.27 : x
  2. Step 2: Convert to fraction form
    137.89/205.61 = 136.27/x
  3. Step 3: Cross multiply
    137.89x = 205.61 × 136.27
  4. Step 4: Simplify right side
    137.89x = 28,018.47
  5. Step 5: Solve for x
    x = 28,018.47/137.89
  6. Step 6: Final answer
    x = 203.19

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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.