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Finding the Fourth Proportional to 280.82, 418.85 and 245.79

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Solution

The fourth proportional to 280.82, 418.85 and 245.79 is: 366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.82 : 418.85 = 245.79 : x
  2. Step 2: Convert to fraction form
    280.82/418.85 = 245.79/x
  3. Step 3: Cross multiply
    280.82x = 418.85 × 245.79
  4. Step 4: Simplify right side
    280.82x = 102,947.91
  5. Step 5: Solve for x
    x = 102,947.91/280.82
  6. Step 6: Final answer
    x = 366.60

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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.