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Finding the Fourth Proportional to 285.91, 394.94 and 221.23

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Solution

The fourth proportional to 285.91, 394.94 and 221.23 is: 305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.91 : 394.94 = 221.23 : x
  2. Step 2: Convert to fraction form
    285.91/394.94 = 221.23/x
  3. Step 3: Cross multiply
    285.91x = 394.94 × 221.23
  4. Step 4: Simplify right side
    285.91x = 87,372.58
  5. Step 5: Solve for x
    x = 87,372.58/285.91
  6. Step 6: Final answer
    x = 305.59

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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.