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Finding the Fourth Proportional to 245.49, 369.05 and 227.67

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Solution

The fourth proportional to 245.49, 369.05 and 227.67 is: 342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.49 : 369.05 = 227.67 : x
  2. Step 2: Convert to fraction form
    245.49/369.05 = 227.67/x
  3. Step 3: Cross multiply
    245.49x = 369.05 × 227.67
  4. Step 4: Simplify right side
    245.49x = 84,020.48
  5. Step 5: Solve for x
    x = 84,020.48/245.49
  6. Step 6: Final answer
    x = 342.26

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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.