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Finding the Fourth Proportional to 327.95, 489.37 and 298.84

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Solution

The fourth proportional to 327.95, 489.37 and 298.84 is: 445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.95 : 489.37 = 298.84 : x
  2. Step 2: Convert to fraction form
    327.95/489.37 = 298.84/x
  3. Step 3: Cross multiply
    327.95x = 489.37 × 298.84
  4. Step 4: Simplify right side
    327.95x = 146,244.55
  5. Step 5: Solve for x
    x = 146,244.55/327.95
  6. Step 6: Final answer
    x = 445.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.