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Finding the Fourth Proportional to 260.44, 356.52 and 252.16

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Solution

The fourth proportional to 260.44, 356.52 and 252.16 is: 345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.44 : 356.52 = 252.16 : x
  2. Step 2: Convert to fraction form
    260.44/356.52 = 252.16/x
  3. Step 3: Cross multiply
    260.44x = 356.52 × 252.16
  4. Step 4: Simplify right side
    260.44x = 89,900.08
  5. Step 5: Solve for x
    x = 89,900.08/260.44
  6. Step 6: Final answer
    x = 345.19

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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.