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Finding the Fourth Proportional to 286.97, 396.11 and 183.47

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Solution

The fourth proportional to 286.97, 396.11 and 183.47 is: 253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.97 : 396.11 = 183.47 : x
  2. Step 2: Convert to fraction form
    286.97/396.11 = 183.47/x
  3. Step 3: Cross multiply
    286.97x = 396.11 × 183.47
  4. Step 4: Simplify right side
    286.97x = 72,673.58
  5. Step 5: Solve for x
    x = 72,673.58/286.97
  6. Step 6: Final answer
    x = 253.25

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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.