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Finding the Fourth Proportional to 392.14, 588.39 and 199.90

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Solution

The fourth proportional to 392.14, 588.39 and 199.90 is: 299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.14 : 588.39 = 199.90 : x
  2. Step 2: Convert to fraction form
    392.14/588.39 = 199.90/x
  3. Step 3: Cross multiply
    392.14x = 588.39 × 199.90
  4. Step 4: Simplify right side
    392.14x = 117,615.22
  5. Step 5: Solve for x
    x = 117,615.22/392.14
  6. Step 6: Final answer
    x = 299.94

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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.