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Finding the Fourth Proportional to 392.32, 584.64 and 369.20

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Solution

The fourth proportional to 392.32, 584.64 and 369.20 is: 550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.32 : 584.64 = 369.20 : x
  2. Step 2: Convert to fraction form
    392.32/584.64 = 369.20/x
  3. Step 3: Cross multiply
    392.32x = 584.64 × 369.20
  4. Step 4: Simplify right side
    392.32x = 215,849.09
  5. Step 5: Solve for x
    x = 215,849.09/392.32
  6. Step 6: Final answer
    x = 550.19

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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.