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Finding the Fourth Proportional to 276.20, 380.70 and 229.74

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Solution

The fourth proportional to 276.20, 380.70 and 229.74 is: 316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.20 : 380.70 = 229.74 : x
  2. Step 2: Convert to fraction form
    276.20/380.70 = 229.74/x
  3. Step 3: Cross multiply
    276.20x = 380.70 × 229.74
  4. Step 4: Simplify right side
    276.20x = 87,462.02
  5. Step 5: Solve for x
    x = 87,462.02/276.20
  6. Step 6: Final answer
    x = 316.67

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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.