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Finding the Fourth Proportional to 327.26, 488.34 and 298.15

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Solution

The fourth proportional to 327.26, 488.34 and 298.15 is: 444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.26 : 488.34 = 298.15 : x
  2. Step 2: Convert to fraction form
    327.26/488.34 = 298.15/x
  3. Step 3: Cross multiply
    327.26x = 488.34 × 298.15
  4. Step 4: Simplify right side
    327.26x = 145,597.35
  5. Step 5: Solve for x
    x = 145,597.35/327.26
  6. Step 6: Final answer
    x = 444.90

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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.