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Finding the Fourth Proportional to 412.78, 619.78 and 169.78

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Solution

The fourth proportional to 412.78, 619.78 and 169.78 is: 254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.78 : 619.78 = 169.78 : x
  2. Step 2: Convert to fraction form
    412.78/619.78 = 169.78/x
  3. Step 3: Cross multiply
    412.78x = 619.78 × 169.78
  4. Step 4: Simplify right side
    412.78x = 105,226.25
  5. Step 5: Solve for x
    x = 105,226.25/412.78
  6. Step 6: Final answer
    x = 254.92

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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.