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Finding the Fourth Proportional to 280.86, 418.40 and 276.27

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Solution

The fourth proportional to 280.86, 418.40 and 276.27 is: 411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.86 : 418.40 = 276.27 : x
  2. Step 2: Convert to fraction form
    280.86/418.40 = 276.27/x
  3. Step 3: Cross multiply
    280.86x = 418.40 × 276.27
  4. Step 4: Simplify right side
    280.86x = 115,589.99
  5. Step 5: Solve for x
    x = 115,589.99/280.86
  6. Step 6: Final answer
    x = 411.56

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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.