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Finding the Fourth Proportional to 260.82, 388.26 and 259.20

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Solution

The fourth proportional to 260.82, 388.26 and 259.20 is: 385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.82 : 388.26 = 259.20 : x
  2. Step 2: Convert to fraction form
    260.82/388.26 = 259.20/x
  3. Step 3: Cross multiply
    260.82x = 388.26 × 259.20
  4. Step 4: Simplify right side
    260.82x = 100,636.99
  5. Step 5: Solve for x
    x = 100,636.99/260.82
  6. Step 6: Final answer
    x = 385.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.