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Finding the Fourth Proportional to 331.23, 496.64 and 157.67

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Solution

The fourth proportional to 331.23, 496.64 and 157.67 is: 236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.23 : 496.64 = 157.67 : x
  2. Step 2: Convert to fraction form
    331.23/496.64 = 157.67/x
  3. Step 3: Cross multiply
    331.23x = 496.64 × 157.67
  4. Step 4: Simplify right side
    331.23x = 78,301.96
  5. Step 5: Solve for x
    x = 78,301.96/331.23
  6. Step 6: Final answer
    x = 236.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.