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Finding the Fourth Proportional to 222.08, 331.18 and 213.98

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Solution

The fourth proportional to 222.08, 331.18 and 213.98 is: 319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.08 : 331.18 = 213.98 : x
  2. Step 2: Convert to fraction form
    222.08/331.18 = 213.98/x
  3. Step 3: Cross multiply
    222.08x = 331.18 × 213.98
  4. Step 4: Simplify right side
    222.08x = 70,865.90
  5. Step 5: Solve for x
    x = 70,865.90/222.08
  6. Step 6: Final answer
    x = 319.10

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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.