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Finding the Fourth Proportional to 277.39, 384.75 and 267.54

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Solution

The fourth proportional to 277.39, 384.75 and 267.54 is: 371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.39 : 384.75 = 267.54 : x
  2. Step 2: Convert to fraction form
    277.39/384.75 = 267.54/x
  3. Step 3: Cross multiply
    277.39x = 384.75 × 267.54
  4. Step 4: Simplify right side
    277.39x = 102,936.02
  5. Step 5: Solve for x
    x = 102,936.02/277.39
  6. Step 6: Final answer
    x = 371.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.