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Finding the Fourth Proportional to 231.65, 321.92 and 228.74

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Solution

The fourth proportional to 231.65, 321.92 and 228.74 is: 317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.65 : 321.92 = 228.74 : x
  2. Step 2: Convert to fraction form
    231.65/321.92 = 228.74/x
  3. Step 3: Cross multiply
    231.65x = 321.92 × 228.74
  4. Step 4: Simplify right side
    231.65x = 73,636.41
  5. Step 5: Solve for x
    x = 73,636.41/231.65
  6. Step 6: Final answer
    x = 317.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.