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Finding the Fourth Proportional to 203.86, 304.31 and 188.84

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Solution

The fourth proportional to 203.86, 304.31 and 188.84 is: 281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.86 : 304.31 = 188.84 : x
  2. Step 2: Convert to fraction form
    203.86/304.31 = 188.84/x
  3. Step 3: Cross multiply
    203.86x = 304.31 × 188.84
  4. Step 4: Simplify right side
    203.86x = 57,467.75
  5. Step 5: Solve for x
    x = 57,467.75/203.86
  6. Step 6: Final answer
    x = 281.89

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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.