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Finding the Fourth Proportional to 284.27, 391.88 and 201.12

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Solution

The fourth proportional to 284.27, 391.88 and 201.12 is: 277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.27 : 391.88 = 201.12 : x
  2. Step 2: Convert to fraction form
    284.27/391.88 = 201.12/x
  3. Step 3: Cross multiply
    284.27x = 391.88 × 201.12
  4. Step 4: Simplify right side
    284.27x = 78,813.90
  5. Step 5: Solve for x
    x = 78,813.90/284.27
  6. Step 6: Final answer
    x = 277.25

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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.