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Finding the Fourth Proportional to 348.31, 480.05 and 254.91

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Solution

The fourth proportional to 348.31, 480.05 and 254.91 is: 351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.31 : 480.05 = 254.91 : x
  2. Step 2: Convert to fraction form
    348.31/480.05 = 254.91/x
  3. Step 3: Cross multiply
    348.31x = 480.05 × 254.91
  4. Step 4: Simplify right side
    348.31x = 122,369.55
  5. Step 5: Solve for x
    x = 122,369.55/348.31
  6. Step 6: Final answer
    x = 351.32

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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.