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Finding the Fourth Proportional to 143.24, 198.64 and 138.80

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Solution

The fourth proportional to 143.24, 198.64 and 138.80 is: 192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.24 : 198.64 = 138.80 : x
  2. Step 2: Convert to fraction form
    143.24/198.64 = 138.80/x
  3. Step 3: Cross multiply
    143.24x = 198.64 × 138.80
  4. Step 4: Simplify right side
    143.24x = 27,571.23
  5. Step 5: Solve for x
    x = 27,571.23/143.24
  6. Step 6: Final answer
    x = 192.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.