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Finding the Fourth Proportional to 204, 281.32 and 130.29

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Solution

The fourth proportional to 204, 281.32 and 130.29 is: 179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204 : 281.32 = 130.29 : x
  2. Step 2: Convert to fraction form
    204/281.32 = 130.29/x
  3. Step 3: Cross multiply
    204x = 281.32 × 130.29
  4. Step 4: Simplify right side
    204x = 36,653.18
  5. Step 5: Solve for x
    x = 36,653.18/204
  6. Step 6: Final answer
    x = 179.67

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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.