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Finding the Fourth Proportional to 193.75, 288.92 and 189.09

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Solution

The fourth proportional to 193.75, 288.92 and 189.09 is: 281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.75 : 288.92 = 189.09 : x
  2. Step 2: Convert to fraction form
    193.75/288.92 = 189.09/x
  3. Step 3: Cross multiply
    193.75x = 288.92 × 189.09
  4. Step 4: Simplify right side
    193.75x = 54,632.36
  5. Step 5: Solve for x
    x = 54,632.36/193.75
  6. Step 6: Final answer
    x = 281.98

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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.