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Finding the Fourth Proportional to 143.96, 198.78 and 114.98

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Solution

The fourth proportional to 143.96, 198.78 and 114.98 is: 158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.96 : 198.78 = 114.98 : x
  2. Step 2: Convert to fraction form
    143.96/198.78 = 114.98/x
  3. Step 3: Cross multiply
    143.96x = 198.78 × 114.98
  4. Step 4: Simplify right side
    143.96x = 22,855.72
  5. Step 5: Solve for x
    x = 22,855.72/143.96
  6. Step 6: Final answer
    x = 158.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.