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Finding the Fourth Proportional to 230.44, 343.64 and 214.96

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Solution

The fourth proportional to 230.44, 343.64 and 214.96 is: 320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.44 : 343.64 = 214.96 : x
  2. Step 2: Convert to fraction form
    230.44/343.64 = 214.96/x
  3. Step 3: Cross multiply
    230.44x = 343.64 × 214.96
  4. Step 4: Simplify right side
    230.44x = 73,868.85
  5. Step 5: Solve for x
    x = 73,868.85/230.44
  6. Step 6: Final answer
    x = 320.56

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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.