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Finding the Fourth Proportional to 274.94, 380.22 and 242.12

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Solution

The fourth proportional to 274.94, 380.22 and 242.12 is: 334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.94 : 380.22 = 242.12 : x
  2. Step 2: Convert to fraction form
    274.94/380.22 = 242.12/x
  3. Step 3: Cross multiply
    274.94x = 380.22 × 242.12
  4. Step 4: Simplify right side
    274.94x = 92,058.87
  5. Step 5: Solve for x
    x = 92,058.87/274.94
  6. Step 6: Final answer
    x = 334.83

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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.