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Finding the Fourth Proportional to 205.72, 283.83 and 128.11

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Solution

The fourth proportional to 205.72, 283.83 and 128.11 is: 176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.72 : 283.83 = 128.11 : x
  2. Step 2: Convert to fraction form
    205.72/283.83 = 128.11/x
  3. Step 3: Cross multiply
    205.72x = 283.83 × 128.11
  4. Step 4: Simplify right side
    205.72x = 36,361.46
  5. Step 5: Solve for x
    x = 36,361.46/205.72
  6. Step 6: Final answer
    x = 176.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.