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Finding the Fourth Proportional to 260.65, 388.66 and 249.37

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Solution

The fourth proportional to 260.65, 388.66 and 249.37 is: 371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.65 : 388.66 = 249.37 : x
  2. Step 2: Convert to fraction form
    260.65/388.66 = 249.37/x
  3. Step 3: Cross multiply
    260.65x = 388.66 × 249.37
  4. Step 4: Simplify right side
    260.65x = 96,920.14
  5. Step 5: Solve for x
    x = 96,920.14/260.65
  6. Step 6: Final answer
    x = 371.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.