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Finding the Fourth Proportional to 277.38, 380.88 and 235.44

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Solution

The fourth proportional to 277.38, 380.88 and 235.44 is: 323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.38 : 380.88 = 235.44 : x
  2. Step 2: Convert to fraction form
    277.38/380.88 = 235.44/x
  3. Step 3: Cross multiply
    277.38x = 380.88 × 235.44
  4. Step 4: Simplify right side
    277.38x = 89,674.39
  5. Step 5: Solve for x
    x = 89,674.39/277.38
  6. Step 6: Final answer
    x = 323.29

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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.