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Finding the Fourth Proportional to 230.11, 343.51 and 197.42

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Solution

The fourth proportional to 230.11, 343.51 and 197.42 is: 294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.11 : 343.51 = 197.42 : x
  2. Step 2: Convert to fraction form
    230.11/343.51 = 197.42/x
  3. Step 3: Cross multiply
    230.11x = 343.51 × 197.42
  4. Step 4: Simplify right side
    230.11x = 67,813.53
  5. Step 5: Solve for x
    x = 67,813.53/230.11
  6. Step 6: Final answer
    x = 294.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.