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Finding the Fourth Proportional to 376.04, 518.72 and 257.92

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Solution

The fourth proportional to 376.04, 518.72 and 257.92 is: 355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.04 : 518.72 = 257.92 : x
  2. Step 2: Convert to fraction form
    376.04/518.72 = 257.92/x
  3. Step 3: Cross multiply
    376.04x = 518.72 × 257.92
  4. Step 4: Simplify right side
    376.04x = 133,788.26
  5. Step 5: Solve for x
    x = 133,788.26/376.04
  6. Step 6: Final answer
    x = 355.78

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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.