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Finding the Fourth Proportional to 143.99, 199.62 and 138.98

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Solution

The fourth proportional to 143.99, 199.62 and 138.98 is: 192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.99 : 199.62 = 138.98 : x
  2. Step 2: Convert to fraction form
    143.99/199.62 = 138.98/x
  3. Step 3: Cross multiply
    143.99x = 199.62 × 138.98
  4. Step 4: Simplify right side
    143.99x = 27,743.69
  5. Step 5: Solve for x
    x = 27,743.69/143.99
  6. Step 6: Final answer
    x = 192.68

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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.