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Finding the Fourth Proportional to 470.00, 704.54 and 226.70

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Solution

The fourth proportional to 470.00, 704.54 and 226.70 is: 339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.00 : 704.54 = 226.70 : x
  2. Step 2: Convert to fraction form
    470.00/704.54 = 226.70/x
  3. Step 3: Cross multiply
    470.00x = 704.54 × 226.70
  4. Step 4: Simplify right side
    470.00x = 159,714.56
  5. Step 5: Solve for x
    x = 159,714.56/470.00
  6. Step 6: Final answer
    x = 339.82

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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.