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Finding the Fourth Proportional to 294.38, 406.05 and 189.43

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Solution

The fourth proportional to 294.38, 406.05 and 189.43 is: 261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.38 : 406.05 = 189.43 : x
  2. Step 2: Convert to fraction form
    294.38/406.05 = 189.43/x
  3. Step 3: Cross multiply
    294.38x = 406.05 × 189.43
  4. Step 4: Simplify right side
    294.38x = 76,918.05
  5. Step 5: Solve for x
    x = 76,918.05/294.38
  6. Step 6: Final answer
    x = 261.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.