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Finding the Fourth Proportional to 144.96, 198.76 and 143.52

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Solution

The fourth proportional to 144.96, 198.76 and 143.52 is: 196.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.96 : 198.76 = 143.52 : x
  2. Step 2: Convert to fraction form
    144.96/198.76 = 143.52/x
  3. Step 3: Cross multiply
    144.96x = 198.76 × 143.52
  4. Step 4: Simplify right side
    144.96x = 28,526.04
  5. Step 5: Solve for x
    x = 28,526.04/144.96
  6. Step 6: Final answer
    x = 196.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.