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Finding the Fourth Proportional to 205.32, 306.35 and 190.80

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Solution

The fourth proportional to 205.32, 306.35 and 190.80 is: 284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.32 : 306.35 = 190.80 : x
  2. Step 2: Convert to fraction form
    205.32/306.35 = 190.80/x
  3. Step 3: Cross multiply
    205.32x = 306.35 × 190.80
  4. Step 4: Simplify right side
    205.32x = 58,450.63
  5. Step 5: Solve for x
    x = 58,450.63/205.32
  6. Step 6: Final answer
    x = 284.68

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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.