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Finding the Fourth Proportional to 150.29, 207.21 and 122.33

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Solution

The fourth proportional to 150.29, 207.21 and 122.33 is: 168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.29 : 207.21 = 122.33 : x
  2. Step 2: Convert to fraction form
    150.29/207.21 = 122.33/x
  3. Step 3: Cross multiply
    150.29x = 207.21 × 122.33
  4. Step 4: Simplify right side
    150.29x = 25,348.00
  5. Step 5: Solve for x
    x = 25,348.00/150.29
  6. Step 6: Final answer
    x = 168.66

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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.