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Finding the Fourth Proportional to 286.96, 393.56 and 282.88

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Solution

The fourth proportional to 286.96, 393.56 and 282.88 is: 387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.96 : 393.56 = 282.88 : x
  2. Step 2: Convert to fraction form
    286.96/393.56 = 282.88/x
  3. Step 3: Cross multiply
    286.96x = 393.56 × 282.88
  4. Step 4: Simplify right side
    286.96x = 111,330.25
  5. Step 5: Solve for x
    x = 111,330.25/286.96
  6. Step 6: Final answer
    x = 387.96

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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.