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Finding the Fourth Proportional to 376.08, 519.41 and 257.85

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Solution

The fourth proportional to 376.08, 519.41 and 257.85 is: 356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.08 : 519.41 = 257.85 : x
  2. Step 2: Convert to fraction form
    376.08/519.41 = 257.85/x
  3. Step 3: Cross multiply
    376.08x = 519.41 × 257.85
  4. Step 4: Simplify right side
    376.08x = 133,928.58
  5. Step 5: Solve for x
    x = 133,928.58/376.08
  6. Step 6: Final answer
    x = 356.12

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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.