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Finding the Fourth Proportional to 286.02, 395.13 and 282.18

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Solution

The fourth proportional to 286.02, 395.13 and 282.18 is: 389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.02 : 395.13 = 282.18 : x
  2. Step 2: Convert to fraction form
    286.02/395.13 = 282.18/x
  3. Step 3: Cross multiply
    286.02x = 395.13 × 282.18
  4. Step 4: Simplify right side
    286.02x = 111,497.78
  5. Step 5: Solve for x
    x = 111,497.78/286.02
  6. Step 6: Final answer
    x = 389.83

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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.