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Finding the Fourth Proportional to 226.90, 340.50 and 150.05

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Solution

The fourth proportional to 226.90, 340.50 and 150.05 is: 225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.90 : 340.50 = 150.05 : x
  2. Step 2: Convert to fraction form
    226.90/340.50 = 150.05/x
  3. Step 3: Cross multiply
    226.90x = 340.50 × 150.05
  4. Step 4: Simplify right side
    226.90x = 51,093.44
  5. Step 5: Solve for x
    x = 51,093.44/226.90
  6. Step 6: Final answer
    x = 225.18

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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.