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Finding the Fourth Proportional to 412.00, 618.22 and 181.05

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Solution

The fourth proportional to 412.00, 618.22 and 181.05 is: 271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.00 : 618.22 = 181.05 : x
  2. Step 2: Convert to fraction form
    412.00/618.22 = 181.05/x
  3. Step 3: Cross multiply
    412.00x = 618.22 × 181.05
  4. Step 4: Simplify right side
    412.00x = 111,929.37
  5. Step 5: Solve for x
    x = 111,929.37/412.00
  6. Step 6: Final answer
    x = 271.67

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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.