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Finding the Fourth Proportional to 412.46, 618.28 and 181.47

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Solution

The fourth proportional to 412.46, 618.28 and 181.47 is: 272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.46 : 618.28 = 181.47 : x
  2. Step 2: Convert to fraction form
    412.46/618.28 = 181.47/x
  3. Step 3: Cross multiply
    412.46x = 618.28 × 181.47
  4. Step 4: Simplify right side
    412.46x = 112,198.36
  5. Step 5: Solve for x
    x = 112,198.36/412.46
  6. Step 6: Final answer
    x = 272.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.