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Finding the Fourth Proportional to 284.61, 391.06 and 226.29

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Solution

The fourth proportional to 284.61, 391.06 and 226.29 is: 310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.61 : 391.06 = 226.29 : x
  2. Step 2: Convert to fraction form
    284.61/391.06 = 226.29/x
  3. Step 3: Cross multiply
    284.61x = 391.06 × 226.29
  4. Step 4: Simplify right side
    284.61x = 88,491.84
  5. Step 5: Solve for x
    x = 88,491.84/284.61
  6. Step 6: Final answer
    x = 310.92

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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.