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Finding the Fourth Proportional to 392.05, 587.12 and 196.43

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Solution

The fourth proportional to 392.05, 587.12 and 196.43 is: 294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.05 : 587.12 = 196.43 : x
  2. Step 2: Convert to fraction form
    392.05/587.12 = 196.43/x
  3. Step 3: Cross multiply
    392.05x = 587.12 × 196.43
  4. Step 4: Simplify right side
    392.05x = 115,327.98
  5. Step 5: Solve for x
    x = 115,327.98/392.05
  6. Step 6: Final answer
    x = 294.17

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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.