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Finding the Fourth Proportional to 150.42, 206.89 and 122.09

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Solution

The fourth proportional to 150.42, 206.89 and 122.09 is: 167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.42 : 206.89 = 122.09 : x
  2. Step 2: Convert to fraction form
    150.42/206.89 = 122.09/x
  3. Step 3: Cross multiply
    150.42x = 206.89 × 122.09
  4. Step 4: Simplify right side
    150.42x = 25,257.86
  5. Step 5: Solve for x
    x = 25,257.86/150.42
  6. Step 6: Final answer
    x = 167.91

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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.