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Finding the Fourth Proportional to 281.75, 420.88 and 238.21

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Solution

The fourth proportional to 281.75, 420.88 and 238.21 is: 355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.75 : 420.88 = 238.21 : x
  2. Step 2: Convert to fraction form
    281.75/420.88 = 238.21/x
  3. Step 3: Cross multiply
    281.75x = 420.88 × 238.21
  4. Step 4: Simplify right side
    281.75x = 100,256.62
  5. Step 5: Solve for x
    x = 100,256.62/281.75
  6. Step 6: Final answer
    x = 355.84

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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.