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Finding the Fourth Proportional to 404.36, 605.82 and 295.64

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Solution

The fourth proportional to 404.36, 605.82 and 295.64 is: 442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.36 : 605.82 = 295.64 : x
  2. Step 2: Convert to fraction form
    404.36/605.82 = 295.64/x
  3. Step 3: Cross multiply
    404.36x = 605.82 × 295.64
  4. Step 4: Simplify right side
    404.36x = 179,104.62
  5. Step 5: Solve for x
    x = 179,104.62/404.36
  6. Step 6: Final answer
    x = 442.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.