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Finding the Fourth Proportional to 605.69, 908.58 and 215.78

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Solution

The fourth proportional to 605.69, 908.58 and 215.78 is: 323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.69 : 908.58 = 215.78 : x
  2. Step 2: Convert to fraction form
    605.69/908.58 = 215.78/x
  3. Step 3: Cross multiply
    605.69x = 908.58 × 215.78
  4. Step 4: Simplify right side
    605.69x = 196,049.66
  5. Step 5: Solve for x
    x = 196,049.66/605.69
  6. Step 6: Final answer
    x = 323.68

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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.