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Finding the Fourth Proportional to 281.50, 422.25 and 129.50

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Solution

The fourth proportional to 281.50, 422.25 and 129.50 is: 194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.50 : 422.25 = 129.50 : x
  2. Step 2: Convert to fraction form
    281.50/422.25 = 129.50/x
  3. Step 3: Cross multiply
    281.50x = 422.25 × 129.50
  4. Step 4: Simplify right side
    281.50x = 54,681.38
  5. Step 5: Solve for x
    x = 54,681.38/281.50
  6. Step 6: Final answer
    x = 194.25

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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.