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Finding the Fourth Proportional to 277.69, 416.52 and 72.25

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Solution

The fourth proportional to 277.69, 416.52 and 72.25 is: 108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.69 : 416.52 = 72.25 : x
  2. Step 2: Convert to fraction form
    277.69/416.52 = 72.25/x
  3. Step 3: Cross multiply
    277.69x = 416.52 × 72.25
  4. Step 4: Simplify right side
    277.69x = 30,093.57
  5. Step 5: Solve for x
    x = 30,093.57/277.69
  6. Step 6: Final answer
    x = 108.37

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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.