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Finding the Fourth Proportional to 496.19, 684.69 and 286.37

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Solution

The fourth proportional to 496.19, 684.69 and 286.37 is: 395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.19 : 684.69 = 286.37 : x
  2. Step 2: Convert to fraction form
    496.19/684.69 = 286.37/x
  3. Step 3: Cross multiply
    496.19x = 684.69 × 286.37
  4. Step 4: Simplify right side
    496.19x = 196,076.84
  5. Step 5: Solve for x
    x = 196,076.84/496.19
  6. Step 6: Final answer
    x = 395.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.