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Finding the Fourth Proportional to 143.85, 198.67 and 111.49

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Solution

The fourth proportional to 143.85, 198.67 and 111.49 is: 153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.85 : 198.67 = 111.49 : x
  2. Step 2: Convert to fraction form
    143.85/198.67 = 111.49/x
  3. Step 3: Cross multiply
    143.85x = 198.67 × 111.49
  4. Step 4: Simplify right side
    143.85x = 22,149.16
  5. Step 5: Solve for x
    x = 22,149.16/143.85
  6. Step 6: Final answer
    x = 153.98

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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.