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Finding the Fourth Proportional to 231.12, 345.06 and 205.20

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Solution

The fourth proportional to 231.12, 345.06 and 205.20 is: 306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.12 : 345.06 = 205.20 : x
  2. Step 2: Convert to fraction form
    231.12/345.06 = 205.20/x
  3. Step 3: Cross multiply
    231.12x = 345.06 × 205.20
  4. Step 4: Simplify right side
    231.12x = 70,806.31
  5. Step 5: Solve for x
    x = 70,806.31/231.12
  6. Step 6: Final answer
    x = 306.36

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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.