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Finding the Fourth Proportional to 412.20, 618.28 and 123.62

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Solution

The fourth proportional to 412.20, 618.28 and 123.62 is: 185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.20 : 618.28 = 123.62 : x
  2. Step 2: Convert to fraction form
    412.20/618.28 = 123.62/x
  3. Step 3: Cross multiply
    412.20x = 618.28 × 123.62
  4. Step 4: Simplify right side
    412.20x = 76,431.77
  5. Step 5: Solve for x
    x = 76,431.77/412.20
  6. Step 6: Final answer
    x = 185.42

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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.