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Finding the Fourth Proportional to 391.09, 539.71 and 216.44

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Solution

The fourth proportional to 391.09, 539.71 and 216.44 is: 298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.09 : 539.71 = 216.44 : x
  2. Step 2: Convert to fraction form
    391.09/539.71 = 216.44/x
  3. Step 3: Cross multiply
    391.09x = 539.71 × 216.44
  4. Step 4: Simplify right side
    391.09x = 116,814.83
  5. Step 5: Solve for x
    x = 116,814.83/391.09
  6. Step 6: Final answer
    x = 298.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.