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Finding the Fourth Proportional to 348.22, 480.45 and 274.31

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Solution

The fourth proportional to 348.22, 480.45 and 274.31 is: 378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.22 : 480.45 = 274.31 : x
  2. Step 2: Convert to fraction form
    348.22/480.45 = 274.31/x
  3. Step 3: Cross multiply
    348.22x = 480.45 × 274.31
  4. Step 4: Simplify right side
    348.22x = 131,791.12
  5. Step 5: Solve for x
    x = 131,791.12/348.22
  6. Step 6: Final answer
    x = 378.47

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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.