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Finding the Fourth Proportional to 282.46, 423.26 and 227.76

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Solution

The fourth proportional to 282.46, 423.26 and 227.76 is: 341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.46 : 423.26 = 227.76 : x
  2. Step 2: Convert to fraction form
    282.46/423.26 = 227.76/x
  3. Step 3: Cross multiply
    282.46x = 423.26 × 227.76
  4. Step 4: Simplify right side
    282.46x = 96,401.70
  5. Step 5: Solve for x
    x = 96,401.70/282.46
  6. Step 6: Final answer
    x = 341.29

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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.