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Finding the Fourth Proportional to 331.70, 494.76 and 321.44

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Solution

The fourth proportional to 331.70, 494.76 and 321.44 is: 479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.70 : 494.76 = 321.44 : x
  2. Step 2: Convert to fraction form
    331.70/494.76 = 321.44/x
  3. Step 3: Cross multiply
    331.70x = 494.76 × 321.44
  4. Step 4: Simplify right side
    331.70x = 159,035.65
  5. Step 5: Solve for x
    x = 159,035.65/331.70
  6. Step 6: Final answer
    x = 479.46

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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.