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Finding the Fourth Proportional to 286.13, 428.97 and 123.77

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Solution

The fourth proportional to 286.13, 428.97 and 123.77 is: 185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.13 : 428.97 = 123.77 : x
  2. Step 2: Convert to fraction form
    286.13/428.97 = 123.77/x
  3. Step 3: Cross multiply
    286.13x = 428.97 × 123.77
  4. Step 4: Simplify right side
    286.13x = 53,093.62
  5. Step 5: Solve for x
    x = 53,093.62/286.13
  6. Step 6: Final answer
    x = 185.56

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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.