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Finding the Fourth Proportional to 371.56, 557.24 and 137.27

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Solution

The fourth proportional to 371.56, 557.24 and 137.27 is: 205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.56 : 557.24 = 137.27 : x
  2. Step 2: Convert to fraction form
    371.56/557.24 = 137.27/x
  3. Step 3: Cross multiply
    371.56x = 557.24 × 137.27
  4. Step 4: Simplify right side
    371.56x = 76,488.86
  5. Step 5: Solve for x
    x = 76,488.86/371.56
  6. Step 6: Final answer
    x = 205.86

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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.