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Finding the Fourth Proportional to 226.50, 340.03 and 188.44

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Solution

The fourth proportional to 226.50, 340.03 and 188.44 is: 282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.50 : 340.03 = 188.44 : x
  2. Step 2: Convert to fraction form
    226.50/340.03 = 188.44/x
  3. Step 3: Cross multiply
    226.50x = 340.03 × 188.44
  4. Step 4: Simplify right side
    226.50x = 64,076.55
  5. Step 5: Solve for x
    x = 64,076.55/226.50
  6. Step 6: Final answer
    x = 282.90

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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.