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Finding the Fourth Proportional to 403.98, 606.37 and 221.46

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Solution

The fourth proportional to 403.98, 606.37 and 221.46 is: 332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.98 : 606.37 = 221.46 : x
  2. Step 2: Convert to fraction form
    403.98/606.37 = 221.46/x
  3. Step 3: Cross multiply
    403.98x = 606.37 × 221.46
  4. Step 4: Simplify right side
    403.98x = 134,286.70
  5. Step 5: Solve for x
    x = 134,286.70/403.98
  6. Step 6: Final answer
    x = 332.41

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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.