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Finding the Fourth Proportional to 260.94, 389.79 and 222.24

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Solution

The fourth proportional to 260.94, 389.79 and 222.24 is: 331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.94 : 389.79 = 222.24 : x
  2. Step 2: Convert to fraction form
    260.94/389.79 = 222.24/x
  3. Step 3: Cross multiply
    260.94x = 389.79 × 222.24
  4. Step 4: Simplify right side
    260.94x = 86,626.93
  5. Step 5: Solve for x
    x = 86,626.93/260.94
  6. Step 6: Final answer
    x = 331.98

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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.