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Finding the Fourth Proportional to 287.96, 394.93 and 283.88

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Solution

The fourth proportional to 287.96, 394.93 and 283.88 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.96 : 394.93 = 283.88 : x
  2. Step 2: Convert to fraction form
    287.96/394.93 = 283.88/x
  3. Step 3: Cross multiply
    287.96x = 394.93 × 283.88
  4. Step 4: Simplify right side
    287.96x = 112,112.73
  5. Step 5: Solve for x
    x = 112,112.73/287.96
  6. Step 6: Final answer
    x = 389.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.