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Finding the Fourth Proportional to 862.84, 1,294.24 and 213.57

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Solution

The fourth proportional to 862.84, 1,294.24 and 213.57 is: 320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.84 : 1,294.24 = 213.57 : x
  2. Step 2: Convert to fraction form
    862.84/1,294.24 = 213.57/x
  3. Step 3: Cross multiply
    862.84x = 1,294.24 × 213.57
  4. Step 4: Simplify right side
    862.84x = 276,410.84
  5. Step 5: Solve for x
    x = 276,410.84/862.84
  6. Step 6: Final answer
    x = 320.35

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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.