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Finding the Fourth Proportional to 205.57, 306.88 and 190.57

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Solution

The fourth proportional to 205.57, 306.88 and 190.57 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.57 : 306.88 = 190.57 : x
  2. Step 2: Convert to fraction form
    205.57/306.88 = 190.57/x
  3. Step 3: Cross multiply
    205.57x = 306.88 × 190.57
  4. Step 4: Simplify right side
    205.57x = 58,482.60
  5. Step 5: Solve for x
    x = 58,482.60/205.57
  6. Step 6: Final answer
    x = 284.49

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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.