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Finding the Fourth Proportional to 230.88, 344.64 and 200.48

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Solution

The fourth proportional to 230.88, 344.64 and 200.48 is: 299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.88 : 344.64 = 200.48 : x
  2. Step 2: Convert to fraction form
    230.88/344.64 = 200.48/x
  3. Step 3: Cross multiply
    230.88x = 344.64 × 200.48
  4. Step 4: Simplify right side
    230.88x = 69,093.43
  5. Step 5: Solve for x
    x = 69,093.43/230.88
  6. Step 6: Final answer
    x = 299.26

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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.