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Finding the Fourth Proportional to 284.22, 391.42 and 221.94

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Solution

The fourth proportional to 284.22, 391.42 and 221.94 is: 305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.22 : 391.42 = 221.94 : x
  2. Step 2: Convert to fraction form
    284.22/391.42 = 221.94/x
  3. Step 3: Cross multiply
    284.22x = 391.42 × 221.94
  4. Step 4: Simplify right side
    284.22x = 86,871.75
  5. Step 5: Solve for x
    x = 86,871.75/284.22
  6. Step 6: Final answer
    x = 305.65

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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.