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Finding the Fourth Proportional to 280.83, 418.94 and 254.71

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Solution

The fourth proportional to 280.83, 418.94 and 254.71 is: 379.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.83 : 418.94 = 254.71 : x
  2. Step 2: Convert to fraction form
    280.83/418.94 = 254.71/x
  3. Step 3: Cross multiply
    280.83x = 418.94 × 254.71
  4. Step 4: Simplify right side
    280.83x = 106,707.80
  5. Step 5: Solve for x
    x = 106,707.80/280.83
  6. Step 6: Final answer
    x = 379.97

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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.