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Finding the Fourth Proportional to 328.26, 490.52 and 320.97

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Solution

The fourth proportional to 328.26, 490.52 and 320.97 is: 479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.26 : 490.52 = 320.97 : x
  2. Step 2: Convert to fraction form
    328.26/490.52 = 320.97/x
  3. Step 3: Cross multiply
    328.26x = 490.52 × 320.97
  4. Step 4: Simplify right side
    328.26x = 157,442.20
  5. Step 5: Solve for x
    x = 157,442.20/328.26
  6. Step 6: Final answer
    x = 479.63

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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.