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Finding the Fourth Proportional to 392.75, 588.56 and 289.22

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Solution

The fourth proportional to 392.75, 588.56 and 289.22 is: 433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.75 : 588.56 = 289.22 : x
  2. Step 2: Convert to fraction form
    392.75/588.56 = 289.22/x
  3. Step 3: Cross multiply
    392.75x = 588.56 × 289.22
  4. Step 4: Simplify right side
    392.75x = 170,224.05
  5. Step 5: Solve for x
    x = 170,224.05/392.75
  6. Step 6: Final answer
    x = 433.42

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