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Finding the Fourth Proportional to 137.01, 204.56 and 122.43

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Solution

The fourth proportional to 137.01, 204.56 and 122.43 is: 182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.01 : 204.56 = 122.43 : x
  2. Step 2: Convert to fraction form
    137.01/204.56 = 122.43/x
  3. Step 3: Cross multiply
    137.01x = 204.56 × 122.43
  4. Step 4: Simplify right side
    137.01x = 25,044.28
  5. Step 5: Solve for x
    x = 25,044.28/137.01
  6. Step 6: Final answer
    x = 182.79

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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.