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Finding the Fourth Proportional to 273.71, 377.89 and 203.69

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Solution

The fourth proportional to 273.71, 377.89 and 203.69 is: 281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.71 : 377.89 = 203.69 : x
  2. Step 2: Convert to fraction form
    273.71/377.89 = 203.69/x
  3. Step 3: Cross multiply
    273.71x = 377.89 × 203.69
  4. Step 4: Simplify right side
    273.71x = 76,969.51
  5. Step 5: Solve for x
    x = 76,969.51/273.71
  6. Step 6: Final answer
    x = 281.21

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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.