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Finding the Fourth Proportional to 863.18, 1,294.79 and 213.92

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Solution

The fourth proportional to 863.18, 1,294.79 and 213.92 is: 320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.18 : 1,294.79 = 213.92 : x
  2. Step 2: Convert to fraction form
    863.18/1,294.79 = 213.92/x
  3. Step 3: Cross multiply
    863.18x = 1,294.79 × 213.92
  4. Step 4: Simplify right side
    863.18x = 276,983.64
  5. Step 5: Solve for x
    x = 276,983.64/863.18
  6. Step 6: Final answer
    x = 320.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.