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Finding the Fourth Proportional to 418.54, 626.52 and 320.80

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Solution

The fourth proportional to 418.54, 626.52 and 320.80 is: 480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.54 : 626.52 = 320.80 : x
  2. Step 2: Convert to fraction form
    418.54/626.52 = 320.80/x
  3. Step 3: Cross multiply
    418.54x = 626.52 × 320.80
  4. Step 4: Simplify right side
    418.54x = 200,987.62
  5. Step 5: Solve for x
    x = 200,987.62/418.54
  6. Step 6: Final answer
    x = 480.21

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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.