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Finding the Fourth Proportional to 231.22, 319.65 and 229.19

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Solution

The fourth proportional to 231.22, 319.65 and 229.19 is: 316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.22 : 319.65 = 229.19 : x
  2. Step 2: Convert to fraction form
    231.22/319.65 = 229.19/x
  3. Step 3: Cross multiply
    231.22x = 319.65 × 229.19
  4. Step 4: Simplify right side
    231.22x = 73,260.58
  5. Step 5: Solve for x
    x = 73,260.58/231.22
  6. Step 6: Final answer
    x = 316.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.