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Finding the Fourth Proportional to 392.36, 587.84 and 378

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Solution

The fourth proportional to 392.36, 587.84 and 378 is: 566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.36 : 587.84 = 378 : x
  2. Step 2: Convert to fraction form
    392.36/587.84 = 378/x
  3. Step 3: Cross multiply
    392.36x = 587.84 × 378
  4. Step 4: Simplify right side
    392.36x = 222,201.63
  5. Step 5: Solve for x
    x = 222,201.63/392.36
  6. Step 6: Final answer
    x = 566.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.