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Finding the Fourth Proportional to 260.93, 389.38 and 238.85

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Solution

The fourth proportional to 260.93, 389.38 and 238.85 is: 356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.93 : 389.38 = 238.85 : x
  2. Step 2: Convert to fraction form
    260.93/389.38 = 238.85/x
  3. Step 3: Cross multiply
    260.93x = 389.38 × 238.85
  4. Step 4: Simplify right side
    260.93x = 93,003.41
  5. Step 5: Solve for x
    x = 93,003.41/260.93
  6. Step 6: Final answer
    x = 356.44

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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.