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Finding the Fourth Proportional to 260.46, 356.09 and 252.90

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Solution

The fourth proportional to 260.46, 356.09 and 252.90 is: 345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.46 : 356.09 = 252.90 : x
  2. Step 2: Convert to fraction form
    260.46/356.09 = 252.90/x
  3. Step 3: Cross multiply
    260.46x = 356.09 × 252.90
  4. Step 4: Simplify right side
    260.46x = 90,053.90
  5. Step 5: Solve for x
    x = 90,053.90/260.46
  6. Step 6: Final answer
    x = 345.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.