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Finding the Fourth Proportional to 281.60, 387.84 and 226.24

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Solution

The fourth proportional to 281.60, 387.84 and 226.24 is: 311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.60 : 387.84 = 226.24 : x
  2. Step 2: Convert to fraction form
    281.60/387.84 = 226.24/x
  3. Step 3: Cross multiply
    281.60x = 387.84 × 226.24
  4. Step 4: Simplify right side
    281.60x = 87,744.92
  5. Step 5: Solve for x
    x = 87,744.92/281.60
  6. Step 6: Final answer
    x = 311.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.