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Finding the Fourth Proportional to 154.36, 231.28 and 67.56

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Solution

The fourth proportional to 154.36, 231.28 and 67.56 is: 101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.36 : 231.28 = 67.56 : x
  2. Step 2: Convert to fraction form
    154.36/231.28 = 67.56/x
  3. Step 3: Cross multiply
    154.36x = 231.28 × 67.56
  4. Step 4: Simplify right side
    154.36x = 15,623.78
  5. Step 5: Solve for x
    x = 15,623.78/154.36
  6. Step 6: Final answer
    x = 101.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.