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Finding the Fourth Proportional to 568.25, 852.17 and 216.78

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Solution

The fourth proportional to 568.25, 852.17 and 216.78 is: 325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.25 : 852.17 = 216.78 : x
  2. Step 2: Convert to fraction form
    568.25/852.17 = 216.78/x
  3. Step 3: Cross multiply
    568.25x = 852.17 × 216.78
  4. Step 4: Simplify right side
    568.25x = 184,732.33
  5. Step 5: Solve for x
    x = 184,732.33/568.25
  6. Step 6: Final answer
    x = 325.09

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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.