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Finding the Fourth Proportional to 311.37, 466.82 and 157.22

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Solution

The fourth proportional to 311.37, 466.82 and 157.22 is: 235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.37 : 466.82 = 157.22 : x
  2. Step 2: Convert to fraction form
    311.37/466.82 = 157.22/x
  3. Step 3: Cross multiply
    311.37x = 466.82 × 157.22
  4. Step 4: Simplify right side
    311.37x = 73,393.44
  5. Step 5: Solve for x
    x = 73,393.44/311.37
  6. Step 6: Final answer
    x = 235.72

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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.