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Finding the Fourth Proportional to 328.80, 490.80 and 328.80

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Solution

The fourth proportional to 328.80, 490.80 and 328.80 is: 490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.80 : 490.80 = 328.80 : x
  2. Step 2: Convert to fraction form
    328.80/490.80 = 328.80/x
  3. Step 3: Cross multiply
    328.80x = 490.80 × 328.80
  4. Step 4: Simplify right side
    328.80x = 161,375.04
  5. Step 5: Solve for x
    x = 161,375.04/328.80
  6. Step 6: Final answer
    x = 490.80

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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.