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Finding the Fourth Proportional to 198.36, 297.50 and 54.06

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Solution

The fourth proportional to 198.36, 297.50 and 54.06 is: 81.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.36 : 297.50 = 54.06 : x
  2. Step 2: Convert to fraction form
    198.36/297.50 = 54.06/x
  3. Step 3: Cross multiply
    198.36x = 297.50 × 54.06
  4. Step 4: Simplify right side
    198.36x = 16,082.85
  5. Step 5: Solve for x
    x = 16,082.85/198.36
  6. Step 6: Final answer
    x = 81.08

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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.