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Finding the Fourth Proportional to 418.91, 578.30 and 286.82

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Solution

The fourth proportional to 418.91, 578.30 and 286.82 is: 395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.91 : 578.30 = 286.82 : x
  2. Step 2: Convert to fraction form
    418.91/578.30 = 286.82/x
  3. Step 3: Cross multiply
    418.91x = 578.30 × 286.82
  4. Step 4: Simplify right side
    418.91x = 165,865.85
  5. Step 5: Solve for x
    x = 165,865.85/418.91
  6. Step 6: Final answer
    x = 395.95

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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.