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Finding the Fourth Proportional to 286.69, 397.30 and 281.22

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Solution

The fourth proportional to 286.69, 397.30 and 281.22 is: 389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.69 : 397.30 = 281.22 : x
  2. Step 2: Convert to fraction form
    286.69/397.30 = 281.22/x
  3. Step 3: Cross multiply
    286.69x = 397.30 × 281.22
  4. Step 4: Simplify right side
    286.69x = 111,728.71
  5. Step 5: Solve for x
    x = 111,728.71/286.69
  6. Step 6: Final answer
    x = 389.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.