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Finding the Fourth Proportional to 329.28, 453.92 and 294.72

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Solution

The fourth proportional to 329.28, 453.92 and 294.72 is: 406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.28 : 453.92 = 294.72 : x
  2. Step 2: Convert to fraction form
    329.28/453.92 = 294.72/x
  3. Step 3: Cross multiply
    329.28x = 453.92 × 294.72
  4. Step 4: Simplify right side
    329.28x = 133,779.30
  5. Step 5: Solve for x
    x = 133,779.30/329.28
  6. Step 6: Final answer
    x = 406.28

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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.