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Finding the Fourth Proportional to 286.81, 396.26 and 284.75

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Solution

The fourth proportional to 286.81, 396.26 and 284.75 is: 393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.81 : 396.26 = 284.75 : x
  2. Step 2: Convert to fraction form
    286.81/396.26 = 284.75/x
  3. Step 3: Cross multiply
    286.81x = 396.26 × 284.75
  4. Step 4: Simplify right side
    286.81x = 112,834.18
  5. Step 5: Solve for x
    x = 112,834.18/286.81
  6. Step 6: Final answer
    x = 393.41

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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.