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Finding the Fourth Proportional to 240.21, 331.64 and 161.64

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Solution

The fourth proportional to 240.21, 331.64 and 161.64 is: 223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.21 : 331.64 = 161.64 : x
  2. Step 2: Convert to fraction form
    240.21/331.64 = 161.64/x
  3. Step 3: Cross multiply
    240.21x = 331.64 × 161.64
  4. Step 4: Simplify right side
    240.21x = 53,606.29
  5. Step 5: Solve for x
    x = 53,606.29/240.21
  6. Step 6: Final answer
    x = 223.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.