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Finding the Fourth Proportional to 348.06, 480.88 and 274.92

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Solution

The fourth proportional to 348.06, 480.88 and 274.92 is: 379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.06 : 480.88 = 274.92 : x
  2. Step 2: Convert to fraction form
    348.06/480.88 = 274.92/x
  3. Step 3: Cross multiply
    348.06x = 480.88 × 274.92
  4. Step 4: Simplify right side
    348.06x = 132,203.53
  5. Step 5: Solve for x
    x = 132,203.53/348.06
  6. Step 6: Final answer
    x = 379.83

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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.