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Finding the Fourth Proportional to 327.98, 494.36 and 310.34

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Solution

The fourth proportional to 327.98, 494.36 and 310.34 is: 467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.98 : 494.36 = 310.34 : x
  2. Step 2: Convert to fraction form
    327.98/494.36 = 310.34/x
  3. Step 3: Cross multiply
    327.98x = 494.36 × 310.34
  4. Step 4: Simplify right side
    327.98x = 153,419.68
  5. Step 5: Solve for x
    x = 153,419.68/327.98
  6. Step 6: Final answer
    x = 467.77

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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.