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Finding the Fourth Proportional to 394.97, 588.24 and 369.65

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Solution

The fourth proportional to 394.97, 588.24 and 369.65 is: 550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.97 : 588.24 = 369.65 : x
  2. Step 2: Convert to fraction form
    394.97/588.24 = 369.65/x
  3. Step 3: Cross multiply
    394.97x = 588.24 × 369.65
  4. Step 4: Simplify right side
    394.97x = 217,441.07
  5. Step 5: Solve for x
    x = 217,441.07/394.97
  6. Step 6: Final answer
    x = 550.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.