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Finding the Fourth Proportional to 412.15, 618.31 and 123.56

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Solution

The fourth proportional to 412.15, 618.31 and 123.56 is: 185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.15 : 618.31 = 123.56 : x
  2. Step 2: Convert to fraction form
    412.15/618.31 = 123.56/x
  3. Step 3: Cross multiply
    412.15x = 618.31 × 123.56
  4. Step 4: Simplify right side
    412.15x = 76,400.08
  5. Step 5: Solve for x
    x = 76,400.08/412.15
  6. Step 6: Final answer
    x = 185.37

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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.