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Finding the Fourth Proportional to 144.46, 200.74 and 142.97

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Solution

The fourth proportional to 144.46, 200.74 and 142.97 is: 198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.46 : 200.74 = 142.97 : x
  2. Step 2: Convert to fraction form
    144.46/200.74 = 142.97/x
  3. Step 3: Cross multiply
    144.46x = 200.74 × 142.97
  4. Step 4: Simplify right side
    144.46x = 28,699.94
  5. Step 5: Solve for x
    x = 28,699.94/144.46
  6. Step 6: Final answer
    x = 198.67

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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.