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Finding the Fourth Proportional to 392.97, 585.27 and 382.21

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Solution

The fourth proportional to 392.97, 585.27 and 382.21 is: 569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.97 : 585.27 = 382.21 : x
  2. Step 2: Convert to fraction form
    392.97/585.27 = 382.21/x
  3. Step 3: Cross multiply
    392.97x = 585.27 × 382.21
  4. Step 4: Simplify right side
    392.97x = 223,696.05
  5. Step 5: Solve for x
    x = 223,696.05/392.97
  6. Step 6: Final answer
    x = 569.24

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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.