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Finding the Fourth Proportional to 260.04, 388.11 and 225.60

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Solution

The fourth proportional to 260.04, 388.11 and 225.60 is: 336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.04 : 388.11 = 225.60 : x
  2. Step 2: Convert to fraction form
    260.04/388.11 = 225.60/x
  3. Step 3: Cross multiply
    260.04x = 388.11 × 225.60
  4. Step 4: Simplify right side
    260.04x = 87,557.62
  5. Step 5: Solve for x
    x = 87,557.62/260.04
  6. Step 6: Final answer
    x = 336.71

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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.