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Finding the Fourth Proportional to 391.56, 584.99 and 365.94

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Solution

The fourth proportional to 391.56, 584.99 and 365.94 is: 546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.56 : 584.99 = 365.94 : x
  2. Step 2: Convert to fraction form
    391.56/584.99 = 365.94/x
  3. Step 3: Cross multiply
    391.56x = 584.99 × 365.94
  4. Step 4: Simplify right side
    391.56x = 214,069.41
  5. Step 5: Solve for x
    x = 214,069.41/391.56
  6. Step 6: Final answer
    x = 546.71

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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.