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Finding the Fourth Proportional to 276.13, 380.56 and 268.23

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Solution

The fourth proportional to 276.13, 380.56 and 268.23 is: 369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.13 : 380.56 = 268.23 : x
  2. Step 2: Convert to fraction form
    276.13/380.56 = 268.23/x
  3. Step 3: Cross multiply
    276.13x = 380.56 × 268.23
  4. Step 4: Simplify right side
    276.13x = 102,077.61
  5. Step 5: Solve for x
    x = 102,077.61/276.13
  6. Step 6: Final answer
    x = 369.67

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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.