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Finding the Fourth Proportional to 284.52, 395.22 and 280.11

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Solution

The fourth proportional to 284.52, 395.22 and 280.11 is: 389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.52 : 395.22 = 280.11 : x
  2. Step 2: Convert to fraction form
    284.52/395.22 = 280.11/x
  3. Step 3: Cross multiply
    284.52x = 395.22 × 280.11
  4. Step 4: Simplify right side
    284.52x = 110,705.07
  5. Step 5: Solve for x
    x = 110,705.07/284.52
  6. Step 6: Final answer
    x = 389.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.