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Finding the Fourth Proportional to 391.70, 539.97 and 260.48

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Solution

The fourth proportional to 391.70, 539.97 and 260.48 is: 359.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.70 : 539.97 = 260.48 : x
  2. Step 2: Convert to fraction form
    391.70/539.97 = 260.48/x
  3. Step 3: Cross multiply
    391.70x = 539.97 × 260.48
  4. Step 4: Simplify right side
    391.70x = 140,651.39
  5. Step 5: Solve for x
    x = 140,651.39/391.70
  6. Step 6: Final answer
    x = 359.08

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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.