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Finding the Fourth Proportional to 240.62, 331.97 and 157.77

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Solution

The fourth proportional to 240.62, 331.97 and 157.77 is: 217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.62 : 331.97 = 157.77 : x
  2. Step 2: Convert to fraction form
    240.62/331.97 = 157.77/x
  3. Step 3: Cross multiply
    240.62x = 331.97 × 157.77
  4. Step 4: Simplify right side
    240.62x = 52,374.43
  5. Step 5: Solve for x
    x = 52,374.43/240.62
  6. Step 6: Final answer
    x = 217.67

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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.