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Finding the Fourth Proportional to 392.58, 590.09 and 247.27

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Solution

The fourth proportional to 392.58, 590.09 and 247.27 is: 371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.58 : 590.09 = 247.27 : x
  2. Step 2: Convert to fraction form
    392.58/590.09 = 247.27/x
  3. Step 3: Cross multiply
    392.58x = 590.09 × 247.27
  4. Step 4: Simplify right side
    392.58x = 145,910.70
  5. Step 5: Solve for x
    x = 145,910.70/392.58
  6. Step 6: Final answer
    x = 371.67

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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.