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Finding the Fourth Proportional to 274.12, 408.32 and 261.64

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Solution

The fourth proportional to 274.12, 408.32 and 261.64 is: 389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.12 : 408.32 = 261.64 : x
  2. Step 2: Convert to fraction form
    274.12/408.32 = 261.64/x
  3. Step 3: Cross multiply
    274.12x = 408.32 × 261.64
  4. Step 4: Simplify right side
    274.12x = 106,832.84
  5. Step 5: Solve for x
    x = 106,832.84/274.12
  6. Step 6: Final answer
    x = 389.73

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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.