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Finding the Fourth Proportional to 327.88, 494.23 and 294.40

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Solution

The fourth proportional to 327.88, 494.23 and 294.40 is: 443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.88 : 494.23 = 294.40 : x
  2. Step 2: Convert to fraction form
    327.88/494.23 = 294.40/x
  3. Step 3: Cross multiply
    327.88x = 494.23 × 294.40
  4. Step 4: Simplify right side
    327.88x = 145,501.31
  5. Step 5: Solve for x
    x = 145,501.31/327.88
  6. Step 6: Final answer
    x = 443.76

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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.