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Finding the Fourth Proportional to 277.09, 380.35 and 252.39

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Solution

The fourth proportional to 277.09, 380.35 and 252.39 is: 346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.09 : 380.35 = 252.39 : x
  2. Step 2: Convert to fraction form
    277.09/380.35 = 252.39/x
  3. Step 3: Cross multiply
    277.09x = 380.35 × 252.39
  4. Step 4: Simplify right side
    277.09x = 95,996.54
  5. Step 5: Solve for x
    x = 95,996.54/277.09
  6. Step 6: Final answer
    x = 346.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.