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Finding the Fourth Proportional to 286.91, 431.93 and 196.18

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Solution

The fourth proportional to 286.91, 431.93 and 196.18 is: 295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.91 : 431.93 = 196.18 : x
  2. Step 2: Convert to fraction form
    286.91/431.93 = 196.18/x
  3. Step 3: Cross multiply
    286.91x = 431.93 × 196.18
  4. Step 4: Simplify right side
    286.91x = 84,734.70
  5. Step 5: Solve for x
    x = 84,734.70/286.91
  6. Step 6: Final answer
    x = 295.34

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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.