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Finding the Fourth Proportional to 281.76, 422.28 and 241.08

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Solution

The fourth proportional to 281.76, 422.28 and 241.08 is: 361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.76 : 422.28 = 241.08 : x
  2. Step 2: Convert to fraction form
    281.76/422.28 = 241.08/x
  3. Step 3: Cross multiply
    281.76x = 422.28 × 241.08
  4. Step 4: Simplify right side
    281.76x = 101,803.26
  5. Step 5: Solve for x
    x = 101,803.26/281.76
  6. Step 6: Final answer
    x = 361.31

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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.