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Finding the Fourth Proportional to 286.82, 431.91 and 206.22

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Solution

The fourth proportional to 286.82, 431.91 and 206.22 is: 310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.82 : 431.91 = 206.22 : x
  2. Step 2: Convert to fraction form
    286.82/431.91 = 206.22/x
  3. Step 3: Cross multiply
    286.82x = 431.91 × 206.22
  4. Step 4: Simplify right side
    286.82x = 89,068.48
  5. Step 5: Solve for x
    x = 89,068.48/286.82
  6. Step 6: Final answer
    x = 310.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.