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Finding the Fourth Proportional to 391.41, 538.96 and 371.33

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Solution

The fourth proportional to 391.41, 538.96 and 371.33 is: 511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.41 : 538.96 = 371.33 : x
  2. Step 2: Convert to fraction form
    391.41/538.96 = 371.33/x
  3. Step 3: Cross multiply
    391.41x = 538.96 × 371.33
  4. Step 4: Simplify right side
    391.41x = 200,132.02
  5. Step 5: Solve for x
    x = 200,132.02/391.41
  6. Step 6: Final answer
    x = 511.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.