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Finding the Fourth Proportional to 143.94, 199.67 and 138.90

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Solution

The fourth proportional to 143.94, 199.67 and 138.90 is: 192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.94 : 199.67 = 138.90 : x
  2. Step 2: Convert to fraction form
    143.94/199.67 = 138.90/x
  3. Step 3: Cross multiply
    143.94x = 199.67 × 138.90
  4. Step 4: Simplify right side
    143.94x = 27,733.47
  5. Step 5: Solve for x
    x = 27,733.47/143.94
  6. Step 6: Final answer
    x = 192.67

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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.