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Finding the Fourth Proportional to 548.20, 755.73 and 338.23

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Solution

The fourth proportional to 548.20, 755.73 and 338.23 is: 466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.20 : 755.73 = 338.23 : x
  2. Step 2: Convert to fraction form
    548.20/755.73 = 338.23/x
  3. Step 3: Cross multiply
    548.20x = 755.73 × 338.23
  4. Step 4: Simplify right side
    548.20x = 255,612.29
  5. Step 5: Solve for x
    x = 255,612.29/548.20
  6. Step 6: Final answer
    x = 466.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.