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Finding the Fourth Proportional to 260.49, 359.26 and 197.68

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Solution

The fourth proportional to 260.49, 359.26 and 197.68 is: 272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.49 : 359.26 = 197.68 : x
  2. Step 2: Convert to fraction form
    260.49/359.26 = 197.68/x
  3. Step 3: Cross multiply
    260.49x = 359.26 × 197.68
  4. Step 4: Simplify right side
    260.49x = 71,018.52
  5. Step 5: Solve for x
    x = 71,018.52/260.49
  6. Step 6: Final answer
    x = 272.63

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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.