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Finding the Fourth Proportional to 605.25, 908.24 and 263.25

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Solution

The fourth proportional to 605.25, 908.24 and 263.25 is: 395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.25 : 908.24 = 263.25 : x
  2. Step 2: Convert to fraction form
    605.25/908.24 = 263.25/x
  3. Step 3: Cross multiply
    605.25x = 908.24 × 263.25
  4. Step 4: Simplify right side
    605.25x = 239,092.86
  5. Step 5: Solve for x
    x = 239,092.86/605.25
  6. Step 6: Final answer
    x = 395.03

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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.