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Finding the Fourth Proportional to 327.44, 489.65 and 266.09

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Solution

The fourth proportional to 327.44, 489.65 and 266.09 is: 397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.44 : 489.65 = 266.09 : x
  2. Step 2: Convert to fraction form
    327.44/489.65 = 266.09/x
  3. Step 3: Cross multiply
    327.44x = 489.65 × 266.09
  4. Step 4: Simplify right side
    327.44x = 130,287.19
  5. Step 5: Solve for x
    x = 130,287.19/327.44
  6. Step 6: Final answer
    x = 397.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.