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Finding the Fourth Proportional to 276.83, 381.60 and 189.35

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Solution

The fourth proportional to 276.83, 381.60 and 189.35 is: 261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.83 : 381.60 = 189.35 : x
  2. Step 2: Convert to fraction form
    276.83/381.60 = 189.35/x
  3. Step 3: Cross multiply
    276.83x = 381.60 × 189.35
  4. Step 4: Simplify right side
    276.83x = 72,255.96
  5. Step 5: Solve for x
    x = 72,255.96/276.83
  6. Step 6: Final answer
    x = 261.01

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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.