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Finding the Fourth Proportional to 344.11, 518.49 and 284.57

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Solution

The fourth proportional to 344.11, 518.49 and 284.57 is: 428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.11 : 518.49 = 284.57 : x
  2. Step 2: Convert to fraction form
    344.11/518.49 = 284.57/x
  3. Step 3: Cross multiply
    344.11x = 518.49 × 284.57
  4. Step 4: Simplify right side
    344.11x = 147,545.28
  5. Step 5: Solve for x
    x = 147,545.28/344.11
  6. Step 6: Final answer
    x = 428.78

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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.