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Finding the Fourth Proportional to 276.99, 414.35 and 227.69

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Solution

The fourth proportional to 276.99, 414.35 and 227.69 is: 340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.99 : 414.35 = 227.69 : x
  2. Step 2: Convert to fraction form
    276.99/414.35 = 227.69/x
  3. Step 3: Cross multiply
    276.99x = 414.35 × 227.69
  4. Step 4: Simplify right side
    276.99x = 94,340.14
  5. Step 5: Solve for x
    x = 94,340.14/276.99
  6. Step 6: Final answer
    x = 340.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.