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Finding the Fourth Proportional to 381.16, 571.39 and 137.63

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Solution

The fourth proportional to 381.16, 571.39 and 137.63 is: 206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.16 : 571.39 = 137.63 : x
  2. Step 2: Convert to fraction form
    381.16/571.39 = 137.63/x
  3. Step 3: Cross multiply
    381.16x = 571.39 × 137.63
  4. Step 4: Simplify right side
    381.16x = 78,640.41
  5. Step 5: Solve for x
    x = 78,640.41/381.16
  6. Step 6: Final answer
    x = 206.32

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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.