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Finding the Fourth Proportional to 404.14, 559.81 and 395.94

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Solution

The fourth proportional to 404.14, 559.81 and 395.94 is: 548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.14 : 559.81 = 395.94 : x
  2. Step 2: Convert to fraction form
    404.14/559.81 = 395.94/x
  3. Step 3: Cross multiply
    404.14x = 559.81 × 395.94
  4. Step 4: Simplify right side
    404.14x = 221,651.17
  5. Step 5: Solve for x
    x = 221,651.17/404.14
  6. Step 6: Final answer
    x = 548.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.