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Finding the Fourth Proportional to 281.19, 421.25 and 251.97

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Solution

The fourth proportional to 281.19, 421.25 and 251.97 is: 377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.19 : 421.25 = 251.97 : x
  2. Step 2: Convert to fraction form
    281.19/421.25 = 251.97/x
  3. Step 3: Cross multiply
    281.19x = 421.25 × 251.97
  4. Step 4: Simplify right side
    281.19x = 106,141.10
  5. Step 5: Solve for x
    x = 106,141.10/281.19
  6. Step 6: Final answer
    x = 377.47

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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.