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Finding the Fourth Proportional to 276.78, 381.94 and 152.44

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Solution

The fourth proportional to 276.78, 381.94 and 152.44 is: 210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.78 : 381.94 = 152.44 : x
  2. Step 2: Convert to fraction form
    276.78/381.94 = 152.44/x
  3. Step 3: Cross multiply
    276.78x = 381.94 × 152.44
  4. Step 4: Simplify right side
    276.78x = 58,222.93
  5. Step 5: Solve for x
    x = 58,222.93/276.78
  6. Step 6: Final answer
    x = 210.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.