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Finding the Fourth Proportional to 281.60, 422.64 and 209.36

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Solution

The fourth proportional to 281.60, 422.64 and 209.36 is: 314.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.60 : 422.64 = 209.36 : x
  2. Step 2: Convert to fraction form
    281.60/422.64 = 209.36/x
  3. Step 3: Cross multiply
    281.60x = 422.64 × 209.36
  4. Step 4: Simplify right side
    281.60x = 88,483.91
  5. Step 5: Solve for x
    x = 88,483.91/281.60
  6. Step 6: Final answer
    x = 314.22

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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.