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Finding the Fourth Proportional to 286.42, 394.71 and 281.16

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Solution

The fourth proportional to 286.42, 394.71 and 281.16 is: 387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.42 : 394.71 = 281.16 : x
  2. Step 2: Convert to fraction form
    286.42/394.71 = 281.16/x
  3. Step 3: Cross multiply
    286.42x = 394.71 × 281.16
  4. Step 4: Simplify right side
    286.42x = 110,976.66
  5. Step 5: Solve for x
    x = 110,976.66/286.42
  6. Step 6: Final answer
    x = 387.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.