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Finding the Fourth Proportional to 384.20, 578.38 and 344.50

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Solution

The fourth proportional to 384.20, 578.38 and 344.50 is: 518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.20 : 578.38 = 344.50 : x
  2. Step 2: Convert to fraction form
    384.20/578.38 = 344.50/x
  3. Step 3: Cross multiply
    384.20x = 578.38 × 344.50
  4. Step 4: Simplify right side
    384.20x = 199,251.91
  5. Step 5: Solve for x
    x = 199,251.91/384.20
  6. Step 6: Final answer
    x = 518.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.