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Finding the Fourth Proportional to 274.44, 409.46 and 261.38

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Solution

The fourth proportional to 274.44, 409.46 and 261.38 is: 389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.44 : 409.46 = 261.38 : x
  2. Step 2: Convert to fraction form
    274.44/409.46 = 261.38/x
  3. Step 3: Cross multiply
    274.44x = 409.46 × 261.38
  4. Step 4: Simplify right side
    274.44x = 107,022.07
  5. Step 5: Solve for x
    x = 107,022.07/274.44
  6. Step 6: Final answer
    x = 389.97

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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.