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Finding the Fourth Proportional to 308.26, 464.18 and 227.67

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Solution

The fourth proportional to 308.26, 464.18 and 227.67 is: 342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.26 : 464.18 = 227.67 : x
  2. Step 2: Convert to fraction form
    308.26/464.18 = 227.67/x
  3. Step 3: Cross multiply
    308.26x = 464.18 × 227.67
  4. Step 4: Simplify right side
    308.26x = 105,679.86
  5. Step 5: Solve for x
    x = 105,679.86/308.26
  6. Step 6: Final answer
    x = 342.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.