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Finding the Fourth Proportional to 226.49, 312.45 and 198.77

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Solution

The fourth proportional to 226.49, 312.45 and 198.77 is: 274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.49 : 312.45 = 198.77 : x
  2. Step 2: Convert to fraction form
    226.49/312.45 = 198.77/x
  3. Step 3: Cross multiply
    226.49x = 312.45 × 198.77
  4. Step 4: Simplify right side
    226.49x = 62,104.50
  5. Step 5: Solve for x
    x = 62,104.50/226.49
  6. Step 6: Final answer
    x = 274.21

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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.