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Finding the Fourth Proportional to 205.50, 306.81 and 175.08

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Solution

The fourth proportional to 205.50, 306.81 and 175.08 is: 261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 306.81 = 175.08 : x
  2. Step 2: Convert to fraction form
    205.50/306.81 = 175.08/x
  3. Step 3: Cross multiply
    205.50x = 306.81 × 175.08
  4. Step 4: Simplify right side
    205.50x = 53,716.29
  5. Step 5: Solve for x
    x = 53,716.29/205.50
  6. Step 6: Final answer
    x = 261.39

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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.