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Finding the Fourth Proportional to 260.22, 388.23 and 234.12

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Solution

The fourth proportional to 260.22, 388.23 and 234.12 is: 349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.22 : 388.23 = 234.12 : x
  2. Step 2: Convert to fraction form
    260.22/388.23 = 234.12/x
  3. Step 3: Cross multiply
    260.22x = 388.23 × 234.12
  4. Step 4: Simplify right side
    260.22x = 90,892.41
  5. Step 5: Solve for x
    x = 90,892.41/260.22
  6. Step 6: Final answer
    x = 349.29

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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.