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Finding the Fourth Proportional to 154.89, 213.78 and 105.88

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Solution

The fourth proportional to 154.89, 213.78 and 105.88 is: 146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.89 : 213.78 = 105.88 : x
  2. Step 2: Convert to fraction form
    154.89/213.78 = 105.88/x
  3. Step 3: Cross multiply
    154.89x = 213.78 × 105.88
  4. Step 4: Simplify right side
    154.89x = 22,635.03
  5. Step 5: Solve for x
    x = 22,635.03/154.89
  6. Step 6: Final answer
    x = 146.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.