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Finding the Fourth Proportional to 217.81, 301.84 and 213.70

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Solution

The fourth proportional to 217.81, 301.84 and 213.70 is: 296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.81 : 301.84 = 213.70 : x
  2. Step 2: Convert to fraction form
    217.81/301.84 = 213.70/x
  3. Step 3: Cross multiply
    217.81x = 301.84 × 213.70
  4. Step 4: Simplify right side
    217.81x = 64,503.21
  5. Step 5: Solve for x
    x = 64,503.21/217.81
  6. Step 6: Final answer
    x = 296.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.