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Finding the Fourth Proportional to 276.12, 381.42 and 188.64

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Solution

The fourth proportional to 276.12, 381.42 and 188.64 is: 260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.12 : 381.42 = 188.64 : x
  2. Step 2: Convert to fraction form
    276.12/381.42 = 188.64/x
  3. Step 3: Cross multiply
    276.12x = 381.42 × 188.64
  4. Step 4: Simplify right side
    276.12x = 71,951.07
  5. Step 5: Solve for x
    x = 71,951.07/276.12
  6. Step 6: Final answer
    x = 260.58

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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.