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Finding the Fourth Proportional to 287.36, 396.71 and 189.27

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Solution

The fourth proportional to 287.36, 396.71 and 189.27 is: 261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.36 : 396.71 = 189.27 : x
  2. Step 2: Convert to fraction form
    287.36/396.71 = 189.27/x
  3. Step 3: Cross multiply
    287.36x = 396.71 × 189.27
  4. Step 4: Simplify right side
    287.36x = 75,085.30
  5. Step 5: Solve for x
    x = 75,085.30/287.36
  6. Step 6: Final answer
    x = 261.29

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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.