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Finding the Fourth Proportional to 262.44, 392.94 and 223.80

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Solution

The fourth proportional to 262.44, 392.94 and 223.80 is: 335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.44 : 392.94 = 223.80 : x
  2. Step 2: Convert to fraction form
    262.44/392.94 = 223.80/x
  3. Step 3: Cross multiply
    262.44x = 392.94 × 223.80
  4. Step 4: Simplify right side
    262.44x = 87,939.97
  5. Step 5: Solve for x
    x = 87,939.97/262.44
  6. Step 6: Final answer
    x = 335.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.