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Finding the Fourth Proportional to 194.33, 289.59 and 189.05

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Solution

The fourth proportional to 194.33, 289.59 and 189.05 is: 281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.33 : 289.59 = 189.05 : x
  2. Step 2: Convert to fraction form
    194.33/289.59 = 189.05/x
  3. Step 3: Cross multiply
    194.33x = 289.59 × 189.05
  4. Step 4: Simplify right side
    194.33x = 54,746.99
  5. Step 5: Solve for x
    x = 54,746.99/194.33
  6. Step 6: Final answer
    x = 281.72

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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.