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Finding the Fourth Proportional to 329.78, 455.10 and 189.88

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Solution

The fourth proportional to 329.78, 455.10 and 189.88 is: 262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.78 : 455.10 = 189.88 : x
  2. Step 2: Convert to fraction form
    329.78/455.10 = 189.88/x
  3. Step 3: Cross multiply
    329.78x = 455.10 × 189.88
  4. Step 4: Simplify right side
    329.78x = 86,414.39
  5. Step 5: Solve for x
    x = 86,414.39/329.78
  6. Step 6: Final answer
    x = 262.04

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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.