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Finding the Fourth Proportional to 277.22, 414.78 and 169.08

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Solution

The fourth proportional to 277.22, 414.78 and 169.08 is: 252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.22 : 414.78 = 169.08 : x
  2. Step 2: Convert to fraction form
    277.22/414.78 = 169.08/x
  3. Step 3: Cross multiply
    277.22x = 414.78 × 169.08
  4. Step 4: Simplify right side
    277.22x = 70,131.00
  5. Step 5: Solve for x
    x = 70,131.00/277.22
  6. Step 6: Final answer
    x = 252.98

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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.