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Finding the Fourth Proportional to 260.70, 357.38 and 256.65

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Solution

The fourth proportional to 260.70, 357.38 and 256.65 is: 351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.70 : 357.38 = 256.65 : x
  2. Step 2: Convert to fraction form
    260.70/357.38 = 256.65/x
  3. Step 3: Cross multiply
    260.70x = 357.38 × 256.65
  4. Step 4: Simplify right side
    260.70x = 91,720.29
  5. Step 5: Solve for x
    x = 91,720.29/260.70
  6. Step 6: Final answer
    x = 351.82

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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.