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Finding the Fourth Proportional to 218.52, 326.45 and 217.32

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Solution

The fourth proportional to 218.52, 326.45 and 217.32 is: 324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.52 : 326.45 = 217.32 : x
  2. Step 2: Convert to fraction form
    218.52/326.45 = 217.32/x
  3. Step 3: Cross multiply
    218.52x = 326.45 × 217.32
  4. Step 4: Simplify right side
    218.52x = 70,944.11
  5. Step 5: Solve for x
    x = 70,944.11/218.52
  6. Step 6: Final answer
    x = 324.66

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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.