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Finding the Fourth Proportional to 231.57, 317.43 and 227.43

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Solution

The fourth proportional to 231.57, 317.43 and 227.43 is: 311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.57 : 317.43 = 227.43 : x
  2. Step 2: Convert to fraction form
    231.57/317.43 = 227.43/x
  3. Step 3: Cross multiply
    231.57x = 317.43 × 227.43
  4. Step 4: Simplify right side
    231.57x = 72,193.10
  5. Step 5: Solve for x
    x = 72,193.10/231.57
  6. Step 6: Final answer
    x = 311.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.