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Finding the Fourth Proportional to 222.66, 331.74 and 216.30

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Solution

The fourth proportional to 222.66, 331.74 and 216.30 is: 322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.66 : 331.74 = 216.30 : x
  2. Step 2: Convert to fraction form
    222.66/331.74 = 216.30/x
  3. Step 3: Cross multiply
    222.66x = 331.74 × 216.30
  4. Step 4: Simplify right side
    222.66x = 71,755.36
  5. Step 5: Solve for x
    x = 71,755.36/222.66
  6. Step 6: Final answer
    x = 322.26

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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.