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Finding the Fourth Proportional to 260.56, 357.24 and 256.32

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Solution

The fourth proportional to 260.56, 357.24 and 256.32 is: 351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.56 : 357.24 = 256.32 : x
  2. Step 2: Convert to fraction form
    260.56/357.24 = 256.32/x
  3. Step 3: Cross multiply
    260.56x = 357.24 × 256.32
  4. Step 4: Simplify right side
    260.56x = 91,567.76
  5. Step 5: Solve for x
    x = 91,567.76/260.56
  6. Step 6: Final answer
    x = 351.43

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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.