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Finding the Fourth Proportional to 297.80, 411.02 and 273.20

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Solution

The fourth proportional to 297.80, 411.02 and 273.20 is: 377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.80 : 411.02 = 273.20 : x
  2. Step 2: Convert to fraction form
    297.80/411.02 = 273.20/x
  3. Step 3: Cross multiply
    297.80x = 411.02 × 273.20
  4. Step 4: Simplify right side
    297.80x = 112,287.24
  5. Step 5: Solve for x
    x = 112,287.24/297.80
  6. Step 6: Final answer
    x = 377.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.