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Finding the Fourth Proportional to 281.12, 418.75 and 251.96

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Solution

The fourth proportional to 281.12, 418.75 and 251.96 is: 375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.12 : 418.75 = 251.96 : x
  2. Step 2: Convert to fraction form
    281.12/418.75 = 251.96/x
  3. Step 3: Cross multiply
    281.12x = 418.75 × 251.96
  4. Step 4: Simplify right side
    281.12x = 105,508.25
  5. Step 5: Solve for x
    x = 105,508.25/281.12
  6. Step 6: Final answer
    x = 375.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.