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Finding the Fourth Proportional to 284.11, 391.79 and 205.94

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Solution

The fourth proportional to 284.11, 391.79 and 205.94 is: 284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.11 : 391.79 = 205.94 : x
  2. Step 2: Convert to fraction form
    284.11/391.79 = 205.94/x
  3. Step 3: Cross multiply
    284.11x = 391.79 × 205.94
  4. Step 4: Simplify right side
    284.11x = 80,686.73
  5. Step 5: Solve for x
    x = 80,686.73/284.11
  6. Step 6: Final answer
    x = 284.00

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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.