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Finding the Fourth Proportional to 137.23, 204.82 and 126.38

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Solution

The fourth proportional to 137.23, 204.82 and 126.38 is: 188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.23 : 204.82 = 126.38 : x
  2. Step 2: Convert to fraction form
    137.23/204.82 = 126.38/x
  3. Step 3: Cross multiply
    137.23x = 204.82 × 126.38
  4. Step 4: Simplify right side
    137.23x = 25,885.15
  5. Step 5: Solve for x
    x = 25,885.15/137.23
  6. Step 6: Final answer
    x = 188.63

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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.