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Finding the Fourth Proportional to 230.14, 343.76 and 193.69

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Solution

The fourth proportional to 230.14, 343.76 and 193.69 is: 289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.14 : 343.76 = 193.69 : x
  2. Step 2: Convert to fraction form
    230.14/343.76 = 193.69/x
  3. Step 3: Cross multiply
    230.14x = 343.76 × 193.69
  4. Step 4: Simplify right side
    230.14x = 66,582.87
  5. Step 5: Solve for x
    x = 66,582.87/230.14
  6. Step 6: Final answer
    x = 289.31

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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.