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Finding the Fourth Proportional to 814.64, 1,221.96 and 229.70

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Solution

The fourth proportional to 814.64, 1,221.96 and 229.70 is: 344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.64 : 1,221.96 = 229.70 : x
  2. Step 2: Convert to fraction form
    814.64/1,221.96 = 229.70/x
  3. Step 3: Cross multiply
    814.64x = 1,221.96 × 229.70
  4. Step 4: Simplify right side
    814.64x = 280,678.10
  5. Step 5: Solve for x
    x = 280,678.10/814.64
  6. Step 6: Final answer
    x = 344.54

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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.