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Finding the Fourth Proportional to 329.63, 494.98 and 214.36

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Solution

The fourth proportional to 329.63, 494.98 and 214.36 is: 321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.63 : 494.98 = 214.36 : x
  2. Step 2: Convert to fraction form
    329.63/494.98 = 214.36/x
  3. Step 3: Cross multiply
    329.63x = 494.98 × 214.36
  4. Step 4: Simplify right side
    329.63x = 106,102.14
  5. Step 5: Solve for x
    x = 106,102.14/329.63
  6. Step 6: Final answer
    x = 321.88

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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.