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Finding the Fourth Proportional to 194.33, 289.86 and 188.57

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Solution

The fourth proportional to 194.33, 289.86 and 188.57 is: 281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.33 : 289.86 = 188.57 : x
  2. Step 2: Convert to fraction form
    194.33/289.86 = 188.57/x
  3. Step 3: Cross multiply
    194.33x = 289.86 × 188.57
  4. Step 4: Simplify right side
    194.33x = 54,658.90
  5. Step 5: Solve for x
    x = 54,658.90/194.33
  6. Step 6: Final answer
    x = 281.27

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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.