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Finding the Fourth Proportional to 321.83, 480.39 and 276.47

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Solution

The fourth proportional to 321.83, 480.39 and 276.47 is: 412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.83 : 480.39 = 276.47 : x
  2. Step 2: Convert to fraction form
    321.83/480.39 = 276.47/x
  3. Step 3: Cross multiply
    321.83x = 480.39 × 276.47
  4. Step 4: Simplify right side
    321.83x = 132,813.42
  5. Step 5: Solve for x
    x = 132,813.42/321.83
  6. Step 6: Final answer
    x = 412.68

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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.