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Finding the Fourth Proportional to 276.35, 378.60 and 265.96

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Solution

The fourth proportional to 276.35, 378.60 and 265.96 is: 364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.35 : 378.60 = 265.96 : x
  2. Step 2: Convert to fraction form
    276.35/378.60 = 265.96/x
  3. Step 3: Cross multiply
    276.35x = 378.60 × 265.96
  4. Step 4: Simplify right side
    276.35x = 100,691.51
  5. Step 5: Solve for x
    x = 100,691.51/276.35
  6. Step 6: Final answer
    x = 364.36

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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.