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Finding the Fourth Proportional to 287.46, 396.78 and 189.24

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Solution

The fourth proportional to 287.46, 396.78 and 189.24 is: 261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.46 : 396.78 = 189.24 : x
  2. Step 2: Convert to fraction form
    287.46/396.78 = 189.24/x
  3. Step 3: Cross multiply
    287.46x = 396.78 × 189.24
  4. Step 4: Simplify right side
    287.46x = 75,086.65
  5. Step 5: Solve for x
    x = 75,086.65/287.46
  6. Step 6: Final answer
    x = 261.21

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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.