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Finding the Fourth Proportional to 277.52, 379.64 and 276.35

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Solution

The fourth proportional to 277.52, 379.64 and 276.35 is: 378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.52 : 379.64 = 276.35 : x
  2. Step 2: Convert to fraction form
    277.52/379.64 = 276.35/x
  3. Step 3: Cross multiply
    277.52x = 379.64 × 276.35
  4. Step 4: Simplify right side
    277.52x = 104,912.31
  5. Step 5: Solve for x
    x = 104,912.31/277.52
  6. Step 6: Final answer
    x = 378.04

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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.