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Finding the Fourth Proportional to 194.52, 289.83 and 189.36

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Solution

The fourth proportional to 194.52, 289.83 and 189.36 is: 282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.52 : 289.83 = 189.36 : x
  2. Step 2: Convert to fraction form
    194.52/289.83 = 189.36/x
  3. Step 3: Cross multiply
    194.52x = 289.83 × 189.36
  4. Step 4: Simplify right side
    194.52x = 54,882.21
  5. Step 5: Solve for x
    x = 54,882.21/194.52
  6. Step 6: Final answer
    x = 282.14

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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.