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Finding the Fourth Proportional to 411.96, 618 and 168.33

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Solution

The fourth proportional to 411.96, 618 and 168.33 is: 252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.96 : 618 = 168.33 : x
  2. Step 2: Convert to fraction form
    411.96/618 = 168.33/x
  3. Step 3: Cross multiply
    411.96x = 618 × 168.33
  4. Step 4: Simplify right side
    411.96x = 104,027.94
  5. Step 5: Solve for x
    x = 104,027.94/411.96
  6. Step 6: Final answer
    x = 252.52

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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.