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Finding the Fourth Proportional to 281.81, 422.74 and 76.38

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Solution

The fourth proportional to 281.81, 422.74 and 76.38 is: 114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.81 : 422.74 = 76.38 : x
  2. Step 2: Convert to fraction form
    281.81/422.74 = 76.38/x
  3. Step 3: Cross multiply
    281.81x = 422.74 × 76.38
  4. Step 4: Simplify right side
    281.81x = 32,288.88
  5. Step 5: Solve for x
    x = 32,288.88/281.81
  6. Step 6: Final answer
    x = 114.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.