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Finding the Fourth Proportional to 327.06, 488.81 and 301.11

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Solution

The fourth proportional to 327.06, 488.81 and 301.11 is: 450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.06 : 488.81 = 301.11 : x
  2. Step 2: Convert to fraction form
    327.06/488.81 = 301.11/x
  3. Step 3: Cross multiply
    327.06x = 488.81 × 301.11
  4. Step 4: Simplify right side
    327.06x = 147,185.58
  5. Step 5: Solve for x
    x = 147,185.58/327.06
  6. Step 6: Final answer
    x = 450.03

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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.