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Finding the Fourth Proportional to 862.75, 1,294.14 and 213.47

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Solution

The fourth proportional to 862.75, 1,294.14 and 213.47 is: 320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.75 : 1,294.14 = 213.47 : x
  2. Step 2: Convert to fraction form
    862.75/1,294.14 = 213.47/x
  3. Step 3: Cross multiply
    862.75x = 1,294.14 × 213.47
  4. Step 4: Simplify right side
    862.75x = 276,259.25
  5. Step 5: Solve for x
    x = 276,259.25/862.75
  6. Step 6: Final answer
    x = 320.21

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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.