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Finding the Fourth Proportional to 329.10, 492.63 and 270.38

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Solution

The fourth proportional to 329.10, 492.63 and 270.38 is: 404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.10 : 492.63 = 270.38 : x
  2. Step 2: Convert to fraction form
    329.10/492.63 = 270.38/x
  3. Step 3: Cross multiply
    329.10x = 492.63 × 270.38
  4. Step 4: Simplify right side
    329.10x = 133,194.84
  5. Step 5: Solve for x
    x = 133,194.84/329.10
  6. Step 6: Final answer
    x = 404.72

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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.