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Finding the Fourth Proportional to 205.26, 306.44 and 178.08

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Solution

The fourth proportional to 205.26, 306.44 and 178.08 is: 265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.26 : 306.44 = 178.08 : x
  2. Step 2: Convert to fraction form
    205.26/306.44 = 178.08/x
  3. Step 3: Cross multiply
    205.26x = 306.44 × 178.08
  4. Step 4: Simplify right side
    205.26x = 54,569.94
  5. Step 5: Solve for x
    x = 54,569.94/205.26
  6. Step 6: Final answer
    x = 265.86

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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.