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Finding the Fourth Proportional to 392.23, 588.44 and 276.90

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Solution

The fourth proportional to 392.23, 588.44 and 276.90 is: 415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.23 : 588.44 = 276.90 : x
  2. Step 2: Convert to fraction form
    392.23/588.44 = 276.90/x
  3. Step 3: Cross multiply
    392.23x = 588.44 × 276.90
  4. Step 4: Simplify right side
    392.23x = 162,939.38
  5. Step 5: Solve for x
    x = 162,939.38/392.23
  6. Step 6: Final answer
    x = 415.42

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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.