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Finding the Fourth Proportional to 391.88, 543.27 and 371.07

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Solution

The fourth proportional to 391.88, 543.27 and 371.07 is: 514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.88 : 543.27 = 371.07 : x
  2. Step 2: Convert to fraction form
    391.88/543.27 = 371.07/x
  3. Step 3: Cross multiply
    391.88x = 543.27 × 371.07
  4. Step 4: Simplify right side
    391.88x = 201,590.49
  5. Step 5: Solve for x
    x = 201,590.49/391.88
  6. Step 6: Final answer
    x = 514.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.