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Finding the Fourth Proportional to 281.40, 422.90 and 190.64

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Solution

The fourth proportional to 281.40, 422.90 and 190.64 is: 286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.40 : 422.90 = 190.64 : x
  2. Step 2: Convert to fraction form
    281.40/422.90 = 190.64/x
  3. Step 3: Cross multiply
    281.40x = 422.90 × 190.64
  4. Step 4: Simplify right side
    281.40x = 80,621.66
  5. Step 5: Solve for x
    x = 80,621.66/281.40
  6. Step 6: Final answer
    x = 286.50

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Why These Related Problems?

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