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Finding the Fourth Proportional to 231.66, 321.91 and 229.13

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Solution

The fourth proportional to 231.66, 321.91 and 229.13 is: 318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.66 : 321.91 = 229.13 : x
  2. Step 2: Convert to fraction form
    231.66/321.91 = 229.13/x
  3. Step 3: Cross multiply
    231.66x = 321.91 × 229.13
  4. Step 4: Simplify right side
    231.66x = 73,758.26
  5. Step 5: Solve for x
    x = 73,758.26/231.66
  6. Step 6: Final answer
    x = 318.39

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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.