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Finding the Fourth Proportional to 198.06, 297.08 and 117.42

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Solution

The fourth proportional to 198.06, 297.08 and 117.42 is: 176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.06 : 297.08 = 117.42 : x
  2. Step 2: Convert to fraction form
    198.06/297.08 = 117.42/x
  3. Step 3: Cross multiply
    198.06x = 297.08 × 117.42
  4. Step 4: Simplify right side
    198.06x = 34,882.53
  5. Step 5: Solve for x
    x = 34,882.53/198.06
  6. Step 6: Final answer
    x = 176.12

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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.