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Finding the Fourth Proportional to 391.88, 584.82 and 350.84

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Solution

The fourth proportional to 391.88, 584.82 and 350.84 is: 523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.88 : 584.82 = 350.84 : x
  2. Step 2: Convert to fraction form
    391.88/584.82 = 350.84/x
  3. Step 3: Cross multiply
    391.88x = 584.82 × 350.84
  4. Step 4: Simplify right side
    391.88x = 205,175.32
  5. Step 5: Solve for x
    x = 205,175.32/391.88
  6. Step 6: Final answer
    x = 523.57

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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.