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Finding the Fourth Proportional to 281.13, 422.10 and 208.23

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Solution

The fourth proportional to 281.13, 422.10 and 208.23 is: 312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.13 : 422.10 = 208.23 : x
  2. Step 2: Convert to fraction form
    281.13/422.10 = 208.23/x
  3. Step 3: Cross multiply
    281.13x = 422.10 × 208.23
  4. Step 4: Simplify right side
    281.13x = 87,893.88
  5. Step 5: Solve for x
    x = 87,893.88/281.13
  6. Step 6: Final answer
    x = 312.64

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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.