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Finding the Fourth Proportional to 280.36, 418.08 and 274.12

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Solution

The fourth proportional to 280.36, 418.08 and 274.12 is: 408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.36 : 418.08 = 274.12 : x
  2. Step 2: Convert to fraction form
    280.36/418.08 = 274.12/x
  3. Step 3: Cross multiply
    280.36x = 418.08 × 274.12
  4. Step 4: Simplify right side
    280.36x = 114,604.09
  5. Step 5: Solve for x
    x = 114,604.09/280.36
  6. Step 6: Final answer
    x = 408.77

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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.