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Finding the Fourth Proportional to 404.22, 605.93 and 173.17

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Solution

The fourth proportional to 404.22, 605.93 and 173.17 is: 259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.22 : 605.93 = 173.17 : x
  2. Step 2: Convert to fraction form
    404.22/605.93 = 173.17/x
  3. Step 3: Cross multiply
    404.22x = 605.93 × 173.17
  4. Step 4: Simplify right side
    404.22x = 104,927.82
  5. Step 5: Solve for x
    x = 104,927.82/404.22
  6. Step 6: Final answer
    x = 259.58

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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.