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Finding the Fourth Proportional to 150.26, 208.24 and 121.46

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Solution

The fourth proportional to 150.26, 208.24 and 121.46 is: 168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.26 : 208.24 = 121.46 : x
  2. Step 2: Convert to fraction form
    150.26/208.24 = 121.46/x
  3. Step 3: Cross multiply
    150.26x = 208.24 × 121.46
  4. Step 4: Simplify right side
    150.26x = 25,292.22
  5. Step 5: Solve for x
    x = 25,292.22/150.26
  6. Step 6: Final answer
    x = 168.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.