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Finding the Fourth Proportional to 231.18, 345.09 and 206.88

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Solution

The fourth proportional to 231.18, 345.09 and 206.88 is: 308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.18 : 345.09 = 206.88 : x
  2. Step 2: Convert to fraction form
    231.18/345.09 = 206.88/x
  3. Step 3: Cross multiply
    231.18x = 345.09 × 206.88
  4. Step 4: Simplify right side
    231.18x = 71,392.22
  5. Step 5: Solve for x
    x = 71,392.22/231.18
  6. Step 6: Final answer
    x = 308.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.