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Finding the Fourth Proportional to 286.47, 395.69 and 282.15

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Solution

The fourth proportional to 286.47, 395.69 and 282.15 is: 389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.47 : 395.69 = 282.15 : x
  2. Step 2: Convert to fraction form
    286.47/395.69 = 282.15/x
  3. Step 3: Cross multiply
    286.47x = 395.69 × 282.15
  4. Step 4: Simplify right side
    286.47x = 111,642.52
  5. Step 5: Solve for x
    x = 111,642.52/286.47
  6. Step 6: Final answer
    x = 389.72

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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.