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Finding the Fourth Proportional to 395.69, 596.03 and 365.61

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Solution

The fourth proportional to 395.69, 596.03 and 365.61 is: 550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.69 : 596.03 = 365.61 : x
  2. Step 2: Convert to fraction form
    395.69/596.03 = 365.61/x
  3. Step 3: Cross multiply
    395.69x = 596.03 × 365.61
  4. Step 4: Simplify right side
    395.69x = 217,914.94
  5. Step 5: Solve for x
    x = 217,914.94/395.69
  6. Step 6: Final answer
    x = 550.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.