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Finding the Fourth Proportional to 376.49, 519.62 and 219.15

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Solution

The fourth proportional to 376.49, 519.62 and 219.15 is: 302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.49 : 519.62 = 219.15 : x
  2. Step 2: Convert to fraction form
    376.49/519.62 = 219.15/x
  3. Step 3: Cross multiply
    376.49x = 519.62 × 219.15
  4. Step 4: Simplify right side
    376.49x = 113,873.63
  5. Step 5: Solve for x
    x = 113,873.63/376.49
  6. Step 6: Final answer
    x = 302.47

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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.