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Finding the Fourth Proportional to 205.38, 283.56 and 131.76

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Solution

The fourth proportional to 205.38, 283.56 and 131.76 is: 181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 283.56 = 131.76 : x
  2. Step 2: Convert to fraction form
    205.38/283.56 = 131.76/x
  3. Step 3: Cross multiply
    205.38x = 283.56 × 131.76
  4. Step 4: Simplify right side
    205.38x = 37,361.87
  5. Step 5: Solve for x
    x = 37,361.87/205.38
  6. Step 6: Final answer
    x = 181.92

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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.