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Finding the Fourth Proportional to 222.77, 331.75 and 217.10

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Solution

The fourth proportional to 222.77, 331.75 and 217.10 is: 323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.77 : 331.75 = 217.10 : x
  2. Step 2: Convert to fraction form
    222.77/331.75 = 217.10/x
  3. Step 3: Cross multiply
    222.77x = 331.75 × 217.10
  4. Step 4: Simplify right side
    222.77x = 72,022.93
  5. Step 5: Solve for x
    x = 72,022.93/222.77
  6. Step 6: Final answer
    x = 323.31

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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.