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Finding the Fourth Proportional to 231.29, 317.10 and 227.20

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Solution

The fourth proportional to 231.29, 317.10 and 227.20 is: 311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.29 : 317.10 = 227.20 : x
  2. Step 2: Convert to fraction form
    231.29/317.10 = 227.20/x
  3. Step 3: Cross multiply
    231.29x = 317.10 × 227.20
  4. Step 4: Simplify right side
    231.29x = 72,045.12
  5. Step 5: Solve for x
    x = 72,045.12/231.29
  6. Step 6: Final answer
    x = 311.49

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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.