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Finding the Fourth Proportional to 198.37, 297.45 and 129.93

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Solution

The fourth proportional to 198.37, 297.45 and 129.93 is: 194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.37 : 297.45 = 129.93 : x
  2. Step 2: Convert to fraction form
    198.37/297.45 = 129.93/x
  3. Step 3: Cross multiply
    198.37x = 297.45 × 129.93
  4. Step 4: Simplify right side
    198.37x = 38,647.68
  5. Step 5: Solve for x
    x = 38,647.68/198.37
  6. Step 6: Final answer
    x = 194.83

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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.