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Finding the Fourth Proportional to 862.94, 1,294.41 and 213.68

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Solution

The fourth proportional to 862.94, 1,294.41 and 213.68 is: 320.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.94 : 1,294.41 = 213.68 : x
  2. Step 2: Convert to fraction form
    862.94/1,294.41 = 213.68/x
  3. Step 3: Cross multiply
    862.94x = 1,294.41 × 213.68
  4. Step 4: Simplify right side
    862.94x = 276,589.53
  5. Step 5: Solve for x
    x = 276,589.53/862.94
  6. Step 6: Final answer
    x = 320.52

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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.