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Finding the Fourth Proportional to 203.85, 304.09 and 183.33

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Solution

The fourth proportional to 203.85, 304.09 and 183.33 is: 273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.85 : 304.09 = 183.33 : x
  2. Step 2: Convert to fraction form
    203.85/304.09 = 183.33/x
  3. Step 3: Cross multiply
    203.85x = 304.09 × 183.33
  4. Step 4: Simplify right side
    203.85x = 55,748.36
  5. Step 5: Solve for x
    x = 55,748.36/203.85
  6. Step 6: Final answer
    x = 273.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.