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Finding the Fourth Proportional to 317.42, 475.96 and 111.96

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Solution

The fourth proportional to 317.42, 475.96 and 111.96 is: 167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.42 : 475.96 = 111.96 : x
  2. Step 2: Convert to fraction form
    317.42/475.96 = 111.96/x
  3. Step 3: Cross multiply
    317.42x = 475.96 × 111.96
  4. Step 4: Simplify right side
    317.42x = 53,287.55
  5. Step 5: Solve for x
    x = 53,287.55/317.42
  6. Step 6: Final answer
    x = 167.88

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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.