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Finding the Fourth Proportional to 198.19, 297.29 and 53.91

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Solution

The fourth proportional to 198.19, 297.29 and 53.91 is: 80.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.19 : 297.29 = 53.91 : x
  2. Step 2: Convert to fraction form
    198.19/297.29 = 53.91/x
  3. Step 3: Cross multiply
    198.19x = 297.29 × 53.91
  4. Step 4: Simplify right side
    198.19x = 16,026.63
  5. Step 5: Solve for x
    x = 16,026.63/198.19
  6. Step 6: Final answer
    x = 80.87

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