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Finding the Fourth Proportional to 230.07, 343.11 and 195.45

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Solution

The fourth proportional to 230.07, 343.11 and 195.45 is: 291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.07 : 343.11 = 195.45 : x
  2. Step 2: Convert to fraction form
    230.07/343.11 = 195.45/x
  3. Step 3: Cross multiply
    230.07x = 343.11 × 195.45
  4. Step 4: Simplify right side
    230.07x = 67,060.85
  5. Step 5: Solve for x
    x = 67,060.85/230.07
  6. Step 6: Final answer
    x = 291.48

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Why These Related Problems?

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