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Finding the Fourth Proportional to 281.36, 422.18 and 127.40

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Solution

The fourth proportional to 281.36, 422.18 and 127.40 is: 191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.36 : 422.18 = 127.40 : x
  2. Step 2: Convert to fraction form
    281.36/422.18 = 127.40/x
  3. Step 3: Cross multiply
    281.36x = 422.18 × 127.40
  4. Step 4: Simplify right side
    281.36x = 53,785.73
  5. Step 5: Solve for x
    x = 53,785.73/281.36
  6. Step 6: Final answer
    x = 191.16

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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.