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Finding the Fourth Proportional to 260.42, 388.60 and 244.82

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Solution

The fourth proportional to 260.42, 388.60 and 244.82 is: 365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.42 : 388.60 = 244.82 : x
  2. Step 2: Convert to fraction form
    260.42/388.60 = 244.82/x
  3. Step 3: Cross multiply
    260.42x = 388.60 × 244.82
  4. Step 4: Simplify right side
    260.42x = 95,137.41
  5. Step 5: Solve for x
    x = 95,137.41/260.42
  6. Step 6: Final answer
    x = 365.33

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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.