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Finding the Fourth Proportional to 663.10, 993.83 and 229.75

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Solution

The fourth proportional to 663.10, 993.83 and 229.75 is: 344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.10 : 993.83 = 229.75 : x
  2. Step 2: Convert to fraction form
    663.10/993.83 = 229.75/x
  3. Step 3: Cross multiply
    663.10x = 993.83 × 229.75
  4. Step 4: Simplify right side
    663.10x = 228,332.44
  5. Step 5: Solve for x
    x = 228,332.44/663.10
  6. Step 6: Final answer
    x = 344.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.