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Finding the Fourth Proportional to 240.27, 331.43 and 157.34

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Solution

The fourth proportional to 240.27, 331.43 and 157.34 is: 217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.27 : 331.43 = 157.34 : x
  2. Step 2: Convert to fraction form
    240.27/331.43 = 157.34/x
  3. Step 3: Cross multiply
    240.27x = 331.43 × 157.34
  4. Step 4: Simplify right side
    240.27x = 52,147.24
  5. Step 5: Solve for x
    x = 52,147.24/240.27
  6. Step 6: Final answer
    x = 217.04

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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.