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Finding the Fourth Proportional to 327.74, 493.92 and 295.28

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Solution

The fourth proportional to 327.74, 493.92 and 295.28 is: 445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.74 : 493.92 = 295.28 : x
  2. Step 2: Convert to fraction form
    327.74/493.92 = 295.28/x
  3. Step 3: Cross multiply
    327.74x = 493.92 × 295.28
  4. Step 4: Simplify right side
    327.74x = 145,844.70
  5. Step 5: Solve for x
    x = 145,844.70/327.74
  6. Step 6: Final answer
    x = 445.00

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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.