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Finding the Fourth Proportional to 273.75, 377.46 and 203.93

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Solution

The fourth proportional to 273.75, 377.46 and 203.93 is: 281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.75 : 377.46 = 203.93 : x
  2. Step 2: Convert to fraction form
    273.75/377.46 = 203.93/x
  3. Step 3: Cross multiply
    273.75x = 377.46 × 203.93
  4. Step 4: Simplify right side
    273.75x = 76,975.42
  5. Step 5: Solve for x
    x = 76,975.42/273.75
  6. Step 6: Final answer
    x = 281.19

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Why These Related Problems?

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