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Finding the Fourth Proportional to 205.14, 306.35 and 193.14

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Solution

The fourth proportional to 205.14, 306.35 and 193.14 is: 288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.14 : 306.35 = 193.14 : x
  2. Step 2: Convert to fraction form
    205.14/306.35 = 193.14/x
  3. Step 3: Cross multiply
    205.14x = 306.35 × 193.14
  4. Step 4: Simplify right side
    205.14x = 59,167.47
  5. Step 5: Solve for x
    x = 59,167.47/205.14
  6. Step 6: Final answer
    x = 288.42

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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.