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Finding the Fourth Proportional to 231.68, 317.80 and 226.88

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Solution

The fourth proportional to 231.68, 317.80 and 226.88 is: 311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.68 : 317.80 = 226.88 : x
  2. Step 2: Convert to fraction form
    231.68/317.80 = 226.88/x
  3. Step 3: Cross multiply
    231.68x = 317.80 × 226.88
  4. Step 4: Simplify right side
    231.68x = 72,102.46
  5. Step 5: Solve for x
    x = 72,102.46/231.68
  6. Step 6: Final answer
    x = 311.22

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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.