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Finding the Fourth Proportional to 218.27, 328.94 and 204.60

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Solution

The fourth proportional to 218.27, 328.94 and 204.60 is: 308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.27 : 328.94 = 204.60 : x
  2. Step 2: Convert to fraction form
    218.27/328.94 = 204.60/x
  3. Step 3: Cross multiply
    218.27x = 328.94 × 204.60
  4. Step 4: Simplify right side
    218.27x = 67,301.12
  5. Step 5: Solve for x
    x = 67,301.12/218.27
  6. Step 6: Final answer
    x = 308.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.