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Finding the Fourth Proportional to 260.38, 357.68 and 247.22

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Solution

The fourth proportional to 260.38, 357.68 and 247.22 is: 339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.38 : 357.68 = 247.22 : x
  2. Step 2: Convert to fraction form
    260.38/357.68 = 247.22/x
  3. Step 3: Cross multiply
    260.38x = 357.68 × 247.22
  4. Step 4: Simplify right side
    260.38x = 88,422.63
  5. Step 5: Solve for x
    x = 88,422.63/260.38
  6. Step 6: Final answer
    x = 339.59

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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.