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Finding the Fourth Proportional to 327.51, 494.99 and 321.84

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Solution

The fourth proportional to 327.51, 494.99 and 321.84 is: 486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.51 : 494.99 = 321.84 : x
  2. Step 2: Convert to fraction form
    327.51/494.99 = 321.84/x
  3. Step 3: Cross multiply
    327.51x = 494.99 × 321.84
  4. Step 4: Simplify right side
    327.51x = 159,305.97
  5. Step 5: Solve for x
    x = 159,305.97/327.51
  6. Step 6: Final answer
    x = 486.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.