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Finding the Fourth Proportional to 150.16, 206.33 and 122.46

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Solution

The fourth proportional to 150.16, 206.33 and 122.46 is: 168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.16 : 206.33 = 122.46 : x
  2. Step 2: Convert to fraction form
    150.16/206.33 = 122.46/x
  3. Step 3: Cross multiply
    150.16x = 206.33 × 122.46
  4. Step 4: Simplify right side
    150.16x = 25,267.17
  5. Step 5: Solve for x
    x = 25,267.17/150.16
  6. Step 6: Final answer
    x = 168.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.