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Finding the Fourth Proportional to 218.52, 325.22 and 217.85

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Solution

The fourth proportional to 218.52, 325.22 and 217.85 is: 324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.52 : 325.22 = 217.85 : x
  2. Step 2: Convert to fraction form
    218.52/325.22 = 217.85/x
  3. Step 3: Cross multiply
    218.52x = 325.22 × 217.85
  4. Step 4: Simplify right side
    218.52x = 70,846.46
  5. Step 5: Solve for x
    x = 70,846.46/218.52
  6. Step 6: Final answer
    x = 324.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.