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Finding the Fourth Proportional to 321.62, 480.12 and 280.63

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Solution

The fourth proportional to 321.62, 480.12 and 280.63 is: 418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.62 : 480.12 = 280.63 : x
  2. Step 2: Convert to fraction form
    321.62/480.12 = 280.63/x
  3. Step 3: Cross multiply
    321.62x = 480.12 × 280.63
  4. Step 4: Simplify right side
    321.62x = 134,733.68
  5. Step 5: Solve for x
    x = 134,733.68/321.62
  6. Step 6: Final answer
    x = 418.92

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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.