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Finding the Fourth Proportional to 391.06, 584.24 and 365.44

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Solution

The fourth proportional to 391.06, 584.24 and 365.44 is: 545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.06 : 584.24 = 365.44 : x
  2. Step 2: Convert to fraction form
    391.06/584.24 = 365.44/x
  3. Step 3: Cross multiply
    391.06x = 584.24 × 365.44
  4. Step 4: Simplify right side
    391.06x = 213,504.67
  5. Step 5: Solve for x
    x = 213,504.67/391.06
  6. Step 6: Final answer
    x = 545.96

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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.