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Finding the Fourth Proportional to 277.69, 416.94 and 169.96

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Solution

The fourth proportional to 277.69, 416.94 and 169.96 is: 255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.69 : 416.94 = 169.96 : x
  2. Step 2: Convert to fraction form
    277.69/416.94 = 169.96/x
  3. Step 3: Cross multiply
    277.69x = 416.94 × 169.96
  4. Step 4: Simplify right side
    277.69x = 70,863.12
  5. Step 5: Solve for x
    x = 70,863.12/277.69
  6. Step 6: Final answer
    x = 255.19

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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.