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Finding the Fourth Proportional to 217.89, 301.05 and 205.74

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Solution

The fourth proportional to 217.89, 301.05 and 205.74 is: 284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.89 : 301.05 = 205.74 : x
  2. Step 2: Convert to fraction form
    217.89/301.05 = 205.74/x
  3. Step 3: Cross multiply
    217.89x = 301.05 × 205.74
  4. Step 4: Simplify right side
    217.89x = 61,938.03
  5. Step 5: Solve for x
    x = 61,938.03/217.89
  6. Step 6: Final answer
    x = 284.26

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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.