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Finding the Fourth Proportional to 277.22, 416.37 and 174.69

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Solution

The fourth proportional to 277.22, 416.37 and 174.69 is: 262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.22 : 416.37 = 174.69 : x
  2. Step 2: Convert to fraction form
    277.22/416.37 = 174.69/x
  3. Step 3: Cross multiply
    277.22x = 416.37 × 174.69
  4. Step 4: Simplify right side
    277.22x = 72,736.33
  5. Step 5: Solve for x
    x = 72,736.33/277.22
  6. Step 6: Final answer
    x = 262.38

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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.