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Finding the Fourth Proportional to 412.75, 619.19 and 169.21

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Solution

The fourth proportional to 412.75, 619.19 and 169.21 is: 253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.75 : 619.19 = 169.21 : x
  2. Step 2: Convert to fraction form
    412.75/619.19 = 169.21/x
  3. Step 3: Cross multiply
    412.75x = 619.19 × 169.21
  4. Step 4: Simplify right side
    412.75x = 104,773.14
  5. Step 5: Solve for x
    x = 104,773.14/412.75
  6. Step 6: Final answer
    x = 253.84

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Double scale
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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.