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Finding the Fourth Proportional to 394.04, 588.08 and 384.82

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Solution

The fourth proportional to 394.04, 588.08 and 384.82 is: 574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.04 : 588.08 = 384.82 : x
  2. Step 2: Convert to fraction form
    394.04/588.08 = 384.82/x
  3. Step 3: Cross multiply
    394.04x = 588.08 × 384.82
  4. Step 4: Simplify right side
    394.04x = 226,304.44
  5. Step 5: Solve for x
    x = 226,304.44/394.04
  6. Step 6: Final answer
    x = 574.31

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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.