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Finding the Fourth Proportional to 276.09, 380.88 and 193.17

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Solution

The fourth proportional to 276.09, 380.88 and 193.17 is: 266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.09 : 380.88 = 193.17 : x
  2. Step 2: Convert to fraction form
    276.09/380.88 = 193.17/x
  3. Step 3: Cross multiply
    276.09x = 380.88 × 193.17
  4. Step 4: Simplify right side
    276.09x = 73,574.59
  5. Step 5: Solve for x
    x = 73,574.59/276.09
  6. Step 6: Final answer
    x = 266.49

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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.