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Finding the Fourth Proportional to 218.23, 324.68 and 216.30

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Solution

The fourth proportional to 218.23, 324.68 and 216.30 is: 321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.23 : 324.68 = 216.30 : x
  2. Step 2: Convert to fraction form
    218.23/324.68 = 216.30/x
  3. Step 3: Cross multiply
    218.23x = 324.68 × 216.30
  4. Step 4: Simplify right side
    218.23x = 70,228.42
  5. Step 5: Solve for x
    x = 70,228.42/218.23
  6. Step 6: Final answer
    x = 321.81

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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.