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Finding the Fourth Proportional to 319.80, 480.54 and 273.66

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Solution

The fourth proportional to 319.80, 480.54 and 273.66 is: 411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.80 : 480.54 = 273.66 : x
  2. Step 2: Convert to fraction form
    319.80/480.54 = 273.66/x
  3. Step 3: Cross multiply
    319.80x = 480.54 × 273.66
  4. Step 4: Simplify right side
    319.80x = 131,504.58
  5. Step 5: Solve for x
    x = 131,504.58/319.80
  6. Step 6: Final answer
    x = 411.21

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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.