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Finding the Fourth Proportional to 412.85, 619.38 and 169.55

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Solution

The fourth proportional to 412.85, 619.38 and 169.55 is: 254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.85 : 619.38 = 169.55 : x
  2. Step 2: Convert to fraction form
    412.85/619.38 = 169.55/x
  3. Step 3: Cross multiply
    412.85x = 619.38 × 169.55
  4. Step 4: Simplify right side
    412.85x = 105,012.78
  5. Step 5: Solve for x
    x = 105,012.78/412.85
  6. Step 6: Final answer
    x = 254.36

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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.