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Finding the Fourth Proportional to 260.61, 359.44 and 197.81

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Solution

The fourth proportional to 260.61, 359.44 and 197.81 is: 272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.61 : 359.44 = 197.81 : x
  2. Step 2: Convert to fraction form
    260.61/359.44 = 197.81/x
  3. Step 3: Cross multiply
    260.61x = 359.44 × 197.81
  4. Step 4: Simplify right side
    260.61x = 71,100.83
  5. Step 5: Solve for x
    x = 71,100.83/260.61
  6. Step 6: Final answer
    x = 272.82

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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.