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Finding the Fourth Proportional to 276.06, 411.62 and 243.67

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Solution

The fourth proportional to 276.06, 411.62 and 243.67 is: 363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.06 : 411.62 = 243.67 : x
  2. Step 2: Convert to fraction form
    276.06/411.62 = 243.67/x
  3. Step 3: Cross multiply
    276.06x = 411.62 × 243.67
  4. Step 4: Simplify right side
    276.06x = 100,299.45
  5. Step 5: Solve for x
    x = 100,299.45/276.06
  6. Step 6: Final answer
    x = 363.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.