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Finding the Fourth Proportional to 150.12, 226.20 and 123.66

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Solution

The fourth proportional to 150.12, 226.20 and 123.66 is: 186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.12 : 226.20 = 123.66 : x
  2. Step 2: Convert to fraction form
    150.12/226.20 = 123.66/x
  3. Step 3: Cross multiply
    150.12x = 226.20 × 123.66
  4. Step 4: Simplify right side
    150.12x = 27,971.89
  5. Step 5: Solve for x
    x = 27,971.89/150.12
  6. Step 6: Final answer
    x = 186.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.