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Finding the Fourth Proportional to 327.80, 491.06 and 254.54

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Solution

The fourth proportional to 327.80, 491.06 and 254.54 is: 381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.80 : 491.06 = 254.54 : x
  2. Step 2: Convert to fraction form
    327.80/491.06 = 254.54/x
  3. Step 3: Cross multiply
    327.80x = 491.06 × 254.54
  4. Step 4: Simplify right side
    327.80x = 124,994.41
  5. Step 5: Solve for x
    x = 124,994.41/327.80
  6. Step 6: Final answer
    x = 381.31

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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.