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Finding the Fourth Proportional to 276.94, 382.12 and 183.72

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Solution

The fourth proportional to 276.94, 382.12 and 183.72 is: 253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.94 : 382.12 = 183.72 : x
  2. Step 2: Convert to fraction form
    276.94/382.12 = 183.72/x
  3. Step 3: Cross multiply
    276.94x = 382.12 × 183.72
  4. Step 4: Simplify right side
    276.94x = 70,203.09
  5. Step 5: Solve for x
    x = 70,203.09/276.94
  6. Step 6: Final answer
    x = 253.50

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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.