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Finding the Fourth Proportional to 348.78, 480.91 and 286.41

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Solution

The fourth proportional to 348.78, 480.91 and 286.41 is: 394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.78 : 480.91 = 286.41 : x
  2. Step 2: Convert to fraction form
    348.78/480.91 = 286.41/x
  3. Step 3: Cross multiply
    348.78x = 480.91 × 286.41
  4. Step 4: Simplify right side
    348.78x = 137,737.92
  5. Step 5: Solve for x
    x = 137,737.92/348.78
  6. Step 6: Final answer
    x = 394.91

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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.