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Finding the Fourth Proportional to 391.99, 539.71 and 298.44

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Solution

The fourth proportional to 391.99, 539.71 and 298.44 is: 410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.99 : 539.71 = 298.44 : x
  2. Step 2: Convert to fraction form
    391.99/539.71 = 298.44/x
  3. Step 3: Cross multiply
    391.99x = 539.71 × 298.44
  4. Step 4: Simplify right side
    391.99x = 161,068.35
  5. Step 5: Solve for x
    x = 161,068.35/391.99
  6. Step 6: Final answer
    x = 410.90

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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.