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Finding the Fourth Proportional to 154.56, 231.14 and 113.57

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Solution

The fourth proportional to 154.56, 231.14 and 113.57 is: 169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.56 : 231.14 = 113.57 : x
  2. Step 2: Convert to fraction form
    154.56/231.14 = 113.57/x
  3. Step 3: Cross multiply
    154.56x = 231.14 × 113.57
  4. Step 4: Simplify right side
    154.56x = 26,249.70
  5. Step 5: Solve for x
    x = 26,249.70/154.56
  6. Step 6: Final answer
    x = 169.84

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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.