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Finding the Fourth Proportional to 404.26, 561.83 and 399.94

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Solution

The fourth proportional to 404.26, 561.83 and 399.94 is: 555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.26 : 561.83 = 399.94 : x
  2. Step 2: Convert to fraction form
    404.26/561.83 = 399.94/x
  3. Step 3: Cross multiply
    404.26x = 561.83 × 399.94
  4. Step 4: Simplify right side
    404.26x = 224,698.29
  5. Step 5: Solve for x
    x = 224,698.29/404.26
  6. Step 6: Final answer
    x = 555.83

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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.