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Finding the Fourth Proportional to 321.05, 480.87 and 184.03

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Solution

The fourth proportional to 321.05, 480.87 and 184.03 is: 275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.05 : 480.87 = 184.03 : x
  2. Step 2: Convert to fraction form
    321.05/480.87 = 184.03/x
  3. Step 3: Cross multiply
    321.05x = 480.87 × 184.03
  4. Step 4: Simplify right side
    321.05x = 88,493.30
  5. Step 5: Solve for x
    x = 88,493.30/321.05
  6. Step 6: Final answer
    x = 275.63

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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.