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Finding the Fourth Proportional to 470.50, 704.78 and 226.30

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Solution

The fourth proportional to 470.50, 704.78 and 226.30 is: 338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.50 : 704.78 = 226.30 : x
  2. Step 2: Convert to fraction form
    470.50/704.78 = 226.30/x
  3. Step 3: Cross multiply
    470.50x = 704.78 × 226.30
  4. Step 4: Simplify right side
    470.50x = 159,491.71
  5. Step 5: Solve for x
    x = 159,491.71/470.50
  6. Step 6: Final answer
    x = 338.98

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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.