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Finding the Fourth Proportional to 329.82, 494.09 and 313.21

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Solution

The fourth proportional to 329.82, 494.09 and 313.21 is: 469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.82 : 494.09 = 313.21 : x
  2. Step 2: Convert to fraction form
    329.82/494.09 = 313.21/x
  3. Step 3: Cross multiply
    329.82x = 494.09 × 313.21
  4. Step 4: Simplify right side
    329.82x = 154,753.93
  5. Step 5: Solve for x
    x = 154,753.93/329.82
  6. Step 6: Final answer
    x = 469.21

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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.