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Finding the Fourth Proportional to 218.32, 329.08 and 206.56

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Solution

The fourth proportional to 218.32, 329.08 and 206.56 is: 311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.32 : 329.08 = 206.56 : x
  2. Step 2: Convert to fraction form
    218.32/329.08 = 206.56/x
  3. Step 3: Cross multiply
    218.32x = 329.08 × 206.56
  4. Step 4: Simplify right side
    218.32x = 67,974.76
  5. Step 5: Solve for x
    x = 67,974.76/218.32
  6. Step 6: Final answer
    x = 311.35

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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.