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Finding the Fourth Proportional to 205.28, 283.03 and 176.12

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Solution

The fourth proportional to 205.28, 283.03 and 176.12 is: 242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.28 : 283.03 = 176.12 : x
  2. Step 2: Convert to fraction form
    205.28/283.03 = 176.12/x
  3. Step 3: Cross multiply
    205.28x = 283.03 × 176.12
  4. Step 4: Simplify right side
    205.28x = 49,845.39
  5. Step 5: Solve for x
    x = 49,845.39/205.28
  6. Step 6: Final answer
    x = 242.82

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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.