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Finding the Fourth Proportional to 376.69, 519.82 and 219.35

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Solution

The fourth proportional to 376.69, 519.82 and 219.35 is: 302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.69 : 519.82 = 219.35 : x
  2. Step 2: Convert to fraction form
    376.69/519.82 = 219.35/x
  3. Step 3: Cross multiply
    376.69x = 519.82 × 219.35
  4. Step 4: Simplify right side
    376.69x = 114,022.52
  5. Step 5: Solve for x
    x = 114,022.52/376.69
  6. Step 6: Final answer
    x = 302.70

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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.