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Finding the Fourth Proportional to 194.43, 289.80 and 189.30

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Solution

The fourth proportional to 194.43, 289.80 and 189.30 is: 282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.43 : 289.80 = 189.30 : x
  2. Step 2: Convert to fraction form
    194.43/289.80 = 189.30/x
  3. Step 3: Cross multiply
    194.43x = 289.80 × 189.30
  4. Step 4: Simplify right side
    194.43x = 54,859.14
  5. Step 5: Solve for x
    x = 54,859.14/194.43
  6. Step 6: Final answer
    x = 282.15

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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.