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Finding the Fourth Proportional to 273.81, 377.80 and 185.30

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Solution

The fourth proportional to 273.81, 377.80 and 185.30 is: 255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.81 : 377.80 = 185.30 : x
  2. Step 2: Convert to fraction form
    273.81/377.80 = 185.30/x
  3. Step 3: Cross multiply
    273.81x = 377.80 × 185.30
  4. Step 4: Simplify right side
    273.81x = 70,006.82
  5. Step 5: Solve for x
    x = 70,006.82/273.81
  6. Step 6: Final answer
    x = 255.68

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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.