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Finding the Fourth Proportional to 392.28, 585.62 and 327.30

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Solution

The fourth proportional to 392.28, 585.62 and 327.30 is: 488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.28 : 585.62 = 327.30 : x
  2. Step 2: Convert to fraction form
    392.28/585.62 = 327.30/x
  3. Step 3: Cross multiply
    392.28x = 585.62 × 327.30
  4. Step 4: Simplify right side
    392.28x = 191,671.79
  5. Step 5: Solve for x
    x = 191,671.79/392.28
  6. Step 6: Final answer
    x = 488.61

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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.