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Finding the Fourth Proportional to 273.14, 376.54 and 195.38

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Solution

The fourth proportional to 273.14, 376.54 and 195.38 is: 269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.14 : 376.54 = 195.38 : x
  2. Step 2: Convert to fraction form
    273.14/376.54 = 195.38/x
  3. Step 3: Cross multiply
    273.14x = 376.54 × 195.38
  4. Step 4: Simplify right side
    273.14x = 73,566.01
  5. Step 5: Solve for x
    x = 73,566.01/273.14
  6. Step 6: Final answer
    x = 269.34

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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.