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Finding the Fourth Proportional to 218.07, 325.31 and 205.65

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Solution

The fourth proportional to 218.07, 325.31 and 205.65 is: 306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.07 : 325.31 = 205.65 : x
  2. Step 2: Convert to fraction form
    218.07/325.31 = 205.65/x
  3. Step 3: Cross multiply
    218.07x = 325.31 × 205.65
  4. Step 4: Simplify right side
    218.07x = 66,898.97
  5. Step 5: Solve for x
    x = 66,898.97/218.07
  6. Step 6: Final answer
    x = 306.78

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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.