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Finding the Fourth Proportional to 321.64, 481.66 and 294.33

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Solution

The fourth proportional to 321.64, 481.66 and 294.33 is: 440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.64 : 481.66 = 294.33 : x
  2. Step 2: Convert to fraction form
    321.64/481.66 = 294.33/x
  3. Step 3: Cross multiply
    321.64x = 481.66 × 294.33
  4. Step 4: Simplify right side
    321.64x = 141,766.99
  5. Step 5: Solve for x
    x = 141,766.99/321.64
  6. Step 6: Final answer
    x = 440.76

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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.