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Finding the Fourth Proportional to 392.07, 584.91 and 380.90

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Solution

The fourth proportional to 392.07, 584.91 and 380.90 is: 568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.07 : 584.91 = 380.90 : x
  2. Step 2: Convert to fraction form
    392.07/584.91 = 380.90/x
  3. Step 3: Cross multiply
    392.07x = 584.91 × 380.90
  4. Step 4: Simplify right side
    392.07x = 222,793.15
  5. Step 5: Solve for x
    x = 222,793.15/392.07
  6. Step 6: Final answer
    x = 568.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.