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Finding the Fourth Proportional to 329.28, 492.76 and 284.20

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Solution

The fourth proportional to 329.28, 492.76 and 284.20 is: 425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.28 : 492.76 = 284.20 : x
  2. Step 2: Convert to fraction form
    329.28/492.76 = 284.20/x
  3. Step 3: Cross multiply
    329.28x = 492.76 × 284.20
  4. Step 4: Simplify right side
    329.28x = 140,042.39
  5. Step 5: Solve for x
    x = 140,042.39/329.28
  6. Step 6: Final answer
    x = 425.30

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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.