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Finding the Fourth Proportional to 154.38, 213.05 and 84.44

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Solution

The fourth proportional to 154.38, 213.05 and 84.44 is: 116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.38 : 213.05 = 84.44 : x
  2. Step 2: Convert to fraction form
    154.38/213.05 = 84.44/x
  3. Step 3: Cross multiply
    154.38x = 213.05 × 84.44
  4. Step 4: Simplify right side
    154.38x = 17,989.94
  5. Step 5: Solve for x
    x = 17,989.94/154.38
  6. Step 6: Final answer
    x = 116.53

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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.