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Finding the Fourth Proportional to 260.66, 359.34 and 208.38

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Solution

The fourth proportional to 260.66, 359.34 and 208.38 is: 287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.66 : 359.34 = 208.38 : x
  2. Step 2: Convert to fraction form
    260.66/359.34 = 208.38/x
  3. Step 3: Cross multiply
    260.66x = 359.34 × 208.38
  4. Step 4: Simplify right side
    260.66x = 74,879.27
  5. Step 5: Solve for x
    x = 74,879.27/260.66
  6. Step 6: Final answer
    x = 287.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.