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Finding the Fourth Proportional to 286.20, 428.56 and 188.41

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Solution

The fourth proportional to 286.20, 428.56 and 188.41 is: 282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.20 : 428.56 = 188.41 : x
  2. Step 2: Convert to fraction form
    286.20/428.56 = 188.41/x
  3. Step 3: Cross multiply
    286.20x = 428.56 × 188.41
  4. Step 4: Simplify right side
    286.20x = 80,744.25
  5. Step 5: Solve for x
    x = 80,744.25/286.20
  6. Step 6: Final answer
    x = 282.13

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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.