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Finding the Fourth Proportional to 284.76, 391.32 and 226.44

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Solution

The fourth proportional to 284.76, 391.32 and 226.44 is: 311.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.76 : 391.32 = 226.44 : x
  2. Step 2: Convert to fraction form
    284.76/391.32 = 226.44/x
  3. Step 3: Cross multiply
    284.76x = 391.32 × 226.44
  4. Step 4: Simplify right side
    284.76x = 88,610.50
  5. Step 5: Solve for x
    x = 88,610.50/284.76
  6. Step 6: Final answer
    x = 311.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.