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Finding the Fourth Proportional to 260.80, 356.72 and 256.96

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Solution

The fourth proportional to 260.80, 356.72 and 256.96 is: 351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.80 : 356.72 = 256.96 : x
  2. Step 2: Convert to fraction form
    260.80/356.72 = 256.96/x
  3. Step 3: Cross multiply
    260.80x = 356.72 × 256.96
  4. Step 4: Simplify right side
    260.80x = 91,662.77
  5. Step 5: Solve for x
    x = 91,662.77/260.80
  6. Step 6: Final answer
    x = 351.47

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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.