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Finding the Fourth Proportional to 198.42, 297.30 and 117.33

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Solution

The fourth proportional to 198.42, 297.30 and 117.33 is: 175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.42 : 297.30 = 117.33 : x
  2. Step 2: Convert to fraction form
    198.42/297.30 = 117.33/x
  3. Step 3: Cross multiply
    198.42x = 297.30 × 117.33
  4. Step 4: Simplify right side
    198.42x = 34,882.21
  5. Step 5: Solve for x
    x = 34,882.21/198.42
  6. Step 6: Final answer
    x = 175.80

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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.