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Finding the Fourth Proportional to 198.67, 297.64 and 144.49

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Solution

The fourth proportional to 198.67, 297.64 and 144.49 is: 216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.67 : 297.64 = 144.49 : x
  2. Step 2: Convert to fraction form
    198.67/297.64 = 144.49/x
  3. Step 3: Cross multiply
    198.67x = 297.64 × 144.49
  4. Step 4: Simplify right side
    198.67x = 43,006.00
  5. Step 5: Solve for x
    x = 43,006.00/198.67
  6. Step 6: Final answer
    x = 216.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.