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Finding the Fourth Proportional to 321.21, 478.61 and 300.69

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Solution

The fourth proportional to 321.21, 478.61 and 300.69 is: 448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.21 : 478.61 = 300.69 : x
  2. Step 2: Convert to fraction form
    321.21/478.61 = 300.69/x
  3. Step 3: Cross multiply
    321.21x = 478.61 × 300.69
  4. Step 4: Simplify right side
    321.21x = 143,914.44
  5. Step 5: Solve for x
    x = 143,914.44/321.21
  6. Step 6: Final answer
    x = 448.03

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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.