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Finding the Fourth Proportional to 142.83, 198.05 and 137.70

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Solution

The fourth proportional to 142.83, 198.05 and 137.70 is: 190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.83 : 198.05 = 137.70 : x
  2. Step 2: Convert to fraction form
    142.83/198.05 = 137.70/x
  3. Step 3: Cross multiply
    142.83x = 198.05 × 137.70
  4. Step 4: Simplify right side
    142.83x = 27,270.80
  5. Step 5: Solve for x
    x = 27,270.80/142.83
  6. Step 6: Final answer
    x = 190.93

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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.