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Finding the Fourth Proportional to 470.49, 704.79 and 226.29

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Solution

The fourth proportional to 470.49, 704.79 and 226.29 is: 338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.49 : 704.79 = 226.29 : x
  2. Step 2: Convert to fraction form
    470.49/704.79 = 226.29/x
  3. Step 3: Cross multiply
    470.49x = 704.79 × 226.29
  4. Step 4: Simplify right side
    470.49x = 159,486.93
  5. Step 5: Solve for x
    x = 159,486.93/470.49
  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.