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Finding the Fourth Proportional to 137.18, 205.76 and 82.33

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Solution

The fourth proportional to 137.18, 205.76 and 82.33 is: 123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.18 : 205.76 = 82.33 : x
  2. Step 2: Convert to fraction form
    137.18/205.76 = 82.33/x
  3. Step 3: Cross multiply
    137.18x = 205.76 × 82.33
  4. Step 4: Simplify right side
    137.18x = 16,939.91
  5. Step 5: Solve for x
    x = 16,939.91/137.18
  6. Step 6: Final answer
    x = 123.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.