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Finding the Fourth Proportional to 496.25, 684.81 and 286.40

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Solution

The fourth proportional to 496.25, 684.81 and 286.40 is: 395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.25 : 684.81 = 286.40 : x
  2. Step 2: Convert to fraction form
    496.25/684.81 = 286.40/x
  3. Step 3: Cross multiply
    496.25x = 684.81 × 286.40
  4. Step 4: Simplify right side
    496.25x = 196,126.16
  5. Step 5: Solve for x
    x = 196,126.16/496.25
  6. Step 6: Final answer
    x = 395.22

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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.