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Finding the Fourth Proportional to 329, 453.61 and 210.94

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Solution

The fourth proportional to 329, 453.61 and 210.94 is: 290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    329 : 453.61 = 210.94 : x
  2. Step 2: Convert to fraction form
    329/453.61 = 210.94/x
  3. Step 3: Cross multiply
    329x = 453.61 × 210.94
  4. Step 4: Simplify right side
    329x = 95,684.49
  5. Step 5: Solve for x
    x = 95,684.49/329
  6. Step 6: Final answer
    x = 290.83

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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.