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Finding the Fourth Proportional to 329.05, 453.86 and 212.59

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Solution

The fourth proportional to 329.05, 453.86 and 212.59 is: 293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.05 : 453.86 = 212.59 : x
  2. Step 2: Convert to fraction form
    329.05/453.86 = 212.59/x
  3. Step 3: Cross multiply
    329.05x = 453.86 × 212.59
  4. Step 4: Simplify right side
    329.05x = 96,485.03
  5. Step 5: Solve for x
    x = 96,485.03/329.05
  6. Step 6: Final answer
    x = 293.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.