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Finding the Fourth Proportional to 391.29, 539.91 and 298.02

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Solution

The fourth proportional to 391.29, 539.91 and 298.02 is: 411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.29 : 539.91 = 298.02 : x
  2. Step 2: Convert to fraction form
    391.29/539.91 = 298.02/x
  3. Step 3: Cross multiply
    391.29x = 539.91 × 298.02
  4. Step 4: Simplify right side
    391.29x = 160,903.98
  5. Step 5: Solve for x
    x = 160,903.98/391.29
  6. Step 6: Final answer
    x = 411.21

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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.