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Finding the Fourth Proportional to 205.26, 306.40 and 191.60

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Solution

The fourth proportional to 205.26, 306.40 and 191.60 is: 286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.26 : 306.40 = 191.60 : x
  2. Step 2: Convert to fraction form
    205.26/306.40 = 191.60/x
  3. Step 3: Cross multiply
    205.26x = 306.40 × 191.60
  4. Step 4: Simplify right side
    205.26x = 58,706.24
  5. Step 5: Solve for x
    x = 58,706.24/205.26
  6. Step 6: Final answer
    x = 286.01

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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.