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Finding the Fourth Proportional to 327.69, 493.49 and 295.56

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Solution

The fourth proportional to 327.69, 493.49 and 295.56 is: 445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.69 : 493.49 = 295.56 : x
  2. Step 2: Convert to fraction form
    327.69/493.49 = 295.56/x
  3. Step 3: Cross multiply
    327.69x = 493.49 × 295.56
  4. Step 4: Simplify right side
    327.69x = 145,854.43
  5. Step 5: Solve for x
    x = 145,854.43/327.69
  6. Step 6: Final answer
    x = 445.10

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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.