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Finding the Fourth Proportional to 219.60, 300.46 and 218.96

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Solution

The fourth proportional to 219.60, 300.46 and 218.96 is: 299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.60 : 300.46 = 218.96 : x
  2. Step 2: Convert to fraction form
    219.60/300.46 = 218.96/x
  3. Step 3: Cross multiply
    219.60x = 300.46 × 218.96
  4. Step 4: Simplify right side
    219.60x = 65,788.72
  5. Step 5: Solve for x
    x = 65,788.72/219.60
  6. Step 6: Final answer
    x = 299.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.