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Finding the Fourth Proportional to 154.82, 213.61 and 91.80

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Solution

The fourth proportional to 154.82, 213.61 and 91.80 is: 126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.82 : 213.61 = 91.80 : x
  2. Step 2: Convert to fraction form
    154.82/213.61 = 91.80/x
  3. Step 3: Cross multiply
    154.82x = 213.61 × 91.80
  4. Step 4: Simplify right side
    154.82x = 19,608.94
  5. Step 5: Solve for x
    x = 19,608.94/154.82
  6. Step 6: Final answer
    x = 126.66

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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.