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Finding the Fourth Proportional to 412.47, 619.25 and 217.62

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Solution

The fourth proportional to 412.47, 619.25 and 217.62 is: 326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.47 : 619.25 = 217.62 : x
  2. Step 2: Convert to fraction form
    412.47/619.25 = 217.62/x
  3. Step 3: Cross multiply
    412.47x = 619.25 × 217.62
  4. Step 4: Simplify right side
    412.47x = 134,760.10
  5. Step 5: Solve for x
    x = 134,760.10/412.47
  6. Step 6: Final answer
    x = 326.71

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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.