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Finding the Fourth Proportional to 348.73, 480.20 and 274.82

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Solution

The fourth proportional to 348.73, 480.20 and 274.82 is: 378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.73 : 480.20 = 274.82 : x
  2. Step 2: Convert to fraction form
    348.73/480.20 = 274.82/x
  3. Step 3: Cross multiply
    348.73x = 480.20 × 274.82
  4. Step 4: Simplify right side
    348.73x = 131,964.79
  5. Step 5: Solve for x
    x = 131,964.79/348.73
  6. Step 6: Final answer
    x = 378.42

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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.