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Finding the Fourth Proportional to 329.12, 494.50 and 213.63

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Solution

The fourth proportional to 329.12, 494.50 and 213.63 is: 320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.12 : 494.50 = 213.63 : x
  2. Step 2: Convert to fraction form
    329.12/494.50 = 213.63/x
  3. Step 3: Cross multiply
    329.12x = 494.50 × 213.63
  4. Step 4: Simplify right side
    329.12x = 105,640.04
  5. Step 5: Solve for x
    x = 105,640.04/329.12
  6. Step 6: Final answer
    x = 320.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.