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Finding the Fourth Proportional to 154.12, 232.24 and 150.88

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Solution

The fourth proportional to 154.12, 232.24 and 150.88 is: 227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.12 : 232.24 = 150.88 : x
  2. Step 2: Convert to fraction form
    154.12/232.24 = 150.88/x
  3. Step 3: Cross multiply
    154.12x = 232.24 × 150.88
  4. Step 4: Simplify right side
    154.12x = 35,040.37
  5. Step 5: Solve for x
    x = 35,040.37/154.12
  6. Step 6: Final answer
    x = 227.36

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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.