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Finding the Fourth Proportional to 230.78, 344.31 and 220.64

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Solution

The fourth proportional to 230.78, 344.31 and 220.64 is: 329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.78 : 344.31 = 220.64 : x
  2. Step 2: Convert to fraction form
    230.78/344.31 = 220.64/x
  3. Step 3: Cross multiply
    230.78x = 344.31 × 220.64
  4. Step 4: Simplify right side
    230.78x = 75,966.84
  5. Step 5: Solve for x
    x = 75,966.84/230.78
  6. Step 6: Final answer
    x = 329.18

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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.