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Finding the Fourth Proportional to 391.50, 584.22 and 339.66

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Solution

The fourth proportional to 391.50, 584.22 and 339.66 is: 506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.50 : 584.22 = 339.66 : x
  2. Step 2: Convert to fraction form
    391.50/584.22 = 339.66/x
  3. Step 3: Cross multiply
    391.50x = 584.22 × 339.66
  4. Step 4: Simplify right side
    391.50x = 198,436.17
  5. Step 5: Solve for x
    x = 198,436.17/391.50
  6. Step 6: Final answer
    x = 506.86

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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.