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Finding the Fourth Proportional to 391.26, 539.97 and 260.35

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Solution

The fourth proportional to 391.26, 539.97 and 260.35 is: 359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.26 : 539.97 = 260.35 : x
  2. Step 2: Convert to fraction form
    391.26/539.97 = 260.35/x
  3. Step 3: Cross multiply
    391.26x = 539.97 × 260.35
  4. Step 4: Simplify right side
    391.26x = 140,578.86
  5. Step 5: Solve for x
    x = 140,578.86/391.26
  6. Step 6: Final answer
    x = 359.29

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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.