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Finding the Fourth Proportional to 230.79, 343.89 and 205.26

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Solution

The fourth proportional to 230.79, 343.89 and 205.26 is: 305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.79 : 343.89 = 205.26 : x
  2. Step 2: Convert to fraction form
    230.79/343.89 = 205.26/x
  3. Step 3: Cross multiply
    230.79x = 343.89 × 205.26
  4. Step 4: Simplify right side
    230.79x = 70,586.86
  5. Step 5: Solve for x
    x = 70,586.86/230.79
  6. Step 6: Final answer
    x = 305.85

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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.