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Finding the Fourth Proportional to 230.44, 343.49 and 220.72

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Solution

The fourth proportional to 230.44, 343.49 and 220.72 is: 329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.44 : 343.49 = 220.72 : x
  2. Step 2: Convert to fraction form
    230.44/343.49 = 220.72/x
  3. Step 3: Cross multiply
    230.44x = 343.49 × 220.72
  4. Step 4: Simplify right side
    230.44x = 75,815.11
  5. Step 5: Solve for x
    x = 75,815.11/230.44
  6. Step 6: Final answer
    x = 329.00

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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.