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Finding the Fourth Proportional to 203.88, 304.38 and 201.84

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Solution

The fourth proportional to 203.88, 304.38 and 201.84 is: 301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.88 : 304.38 = 201.84 : x
  2. Step 2: Convert to fraction form
    203.88/304.38 = 201.84/x
  3. Step 3: Cross multiply
    203.88x = 304.38 × 201.84
  4. Step 4: Simplify right side
    203.88x = 61,436.06
  5. Step 5: Solve for x
    x = 61,436.06/203.88
  6. Step 6: Final answer
    x = 301.33

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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.