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Finding the Fourth Proportional to 392.80, 588.12 and 199.48

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Solution

The fourth proportional to 392.80, 588.12 and 199.48 is: 298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.80 : 588.12 = 199.48 : x
  2. Step 2: Convert to fraction form
    392.80/588.12 = 199.48/x
  3. Step 3: Cross multiply
    392.80x = 588.12 × 199.48
  4. Step 4: Simplify right side
    392.80x = 117,318.18
  5. Step 5: Solve for x
    x = 117,318.18/392.80
  6. Step 6: Final answer
    x = 298.67

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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.