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Finding the Fourth Proportional to 329.37, 490.86 and 328.86

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Solution

The fourth proportional to 329.37, 490.86 and 328.86 is: 490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.37 : 490.86 = 328.86 : x
  2. Step 2: Convert to fraction form
    329.37/490.86 = 328.86/x
  3. Step 3: Cross multiply
    329.37x = 490.86 × 328.86
  4. Step 4: Simplify right side
    329.37x = 161,424.22
  5. Step 5: Solve for x
    x = 161,424.22/329.37
  6. Step 6: Final answer
    x = 490.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.