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Finding the Fourth Proportional to 274.01, 408.51 and 261.05

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Solution

The fourth proportional to 274.01, 408.51 and 261.05 is: 389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.01 : 408.51 = 261.05 : x
  2. Step 2: Convert to fraction form
    274.01/408.51 = 261.05/x
  3. Step 3: Cross multiply
    274.01x = 408.51 × 261.05
  4. Step 4: Simplify right side
    274.01x = 106,639.49
  5. Step 5: Solve for x
    x = 106,639.49/274.01
  6. Step 6: Final answer
    x = 389.19

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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.