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Finding the Fourth Proportional to 321.12, 479.37 and 280.13

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Solution

The fourth proportional to 321.12, 479.37 and 280.13 is: 418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.12 : 479.37 = 280.13 : x
  2. Step 2: Convert to fraction form
    321.12/479.37 = 280.13/x
  3. Step 3: Cross multiply
    321.12x = 479.37 × 280.13
  4. Step 4: Simplify right side
    321.12x = 134,284.57
  5. Step 5: Solve for x
    x = 134,284.57/321.12
  6. Step 6: Final answer
    x = 418.18

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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.