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Finding the Fourth Proportional to 286.29, 394.72 and 280.22

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Solution

The fourth proportional to 286.29, 394.72 and 280.22 is: 386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.29 : 394.72 = 280.22 : x
  2. Step 2: Convert to fraction form
    286.29/394.72 = 280.22/x
  3. Step 3: Cross multiply
    286.29x = 394.72 × 280.22
  4. Step 4: Simplify right side
    286.29x = 110,605.76
  5. Step 5: Solve for x
    x = 110,605.76/286.29
  6. Step 6: Final answer
    x = 386.34

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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.