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Finding the Fourth Proportional to 403.20, 605.41 and 321.80

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Solution

The fourth proportional to 403.20, 605.41 and 321.80 is: 483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.20 : 605.41 = 321.80 : x
  2. Step 2: Convert to fraction form
    403.20/605.41 = 321.80/x
  3. Step 3: Cross multiply
    403.20x = 605.41 × 321.80
  4. Step 4: Simplify right side
    403.20x = 194,817.11
  5. Step 5: Solve for x
    x = 194,817.11/403.20
  6. Step 6: Final answer
    x = 483.18

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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.