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Finding the Fourth Proportional to 154.76, 231.66 and 105.81

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Solution

The fourth proportional to 154.76, 231.66 and 105.81 is: 158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.76 : 231.66 = 105.81 : x
  2. Step 2: Convert to fraction form
    154.76/231.66 = 105.81/x
  3. Step 3: Cross multiply
    154.76x = 231.66 × 105.81
  4. Step 4: Simplify right side
    154.76x = 24,511.94
  5. Step 5: Solve for x
    x = 24,511.94/154.76
  6. Step 6: Final answer
    x = 158.39

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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.