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Finding the Fourth Proportional to 286.41, 428.54 and 164.73

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Solution

The fourth proportional to 286.41, 428.54 and 164.73 is: 246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.41 : 428.54 = 164.73 : x
  2. Step 2: Convert to fraction form
    286.41/428.54 = 164.73/x
  3. Step 3: Cross multiply
    286.41x = 428.54 × 164.73
  4. Step 4: Simplify right side
    286.41x = 70,592.57
  5. Step 5: Solve for x
    x = 70,592.57/286.41
  6. Step 6: Final answer
    x = 246.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.