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Finding the Fourth Proportional to 260.12, 388.27 and 226.12

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Solution

The fourth proportional to 260.12, 388.27 and 226.12 is: 337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.12 : 388.27 = 226.12 : x
  2. Step 2: Convert to fraction form
    260.12/388.27 = 226.12/x
  3. Step 3: Cross multiply
    260.12x = 388.27 × 226.12
  4. Step 4: Simplify right side
    260.12x = 87,795.61
  5. Step 5: Solve for x
    x = 87,795.61/260.12
  6. Step 6: Final answer
    x = 337.52

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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.