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Finding the Fourth Proportional to 321.33, 479.67 and 280.32

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Solution

The fourth proportional to 321.33, 479.67 and 280.32 is: 418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.33 : 479.67 = 280.32 : x
  2. Step 2: Convert to fraction form
    321.33/479.67 = 280.32/x
  3. Step 3: Cross multiply
    321.33x = 479.67 × 280.32
  4. Step 4: Simplify right side
    321.33x = 134,461.09
  5. Step 5: Solve for x
    x = 134,461.09/321.33
  6. Step 6: Final answer
    x = 418.45

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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.