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Finding the Fourth Proportional to 222.46, 332.98 and 213.95

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Solution

The fourth proportional to 222.46, 332.98 and 213.95 is: 320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.46 : 332.98 = 213.95 : x
  2. Step 2: Convert to fraction form
    222.46/332.98 = 213.95/x
  3. Step 3: Cross multiply
    222.46x = 332.98 × 213.95
  4. Step 4: Simplify right side
    222.46x = 71,241.37
  5. Step 5: Solve for x
    x = 71,241.37/222.46
  6. Step 6: Final answer
    x = 320.25

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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.