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Finding the Fourth Proportional to 470.28, 704.70 and 308.20

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Solution

The fourth proportional to 470.28, 704.70 and 308.20 is: 461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.28 : 704.70 = 308.20 : x
  2. Step 2: Convert to fraction form
    470.28/704.70 = 308.20/x
  3. Step 3: Cross multiply
    470.28x = 704.70 × 308.20
  4. Step 4: Simplify right side
    470.28x = 217,188.54
  5. Step 5: Solve for x
    x = 217,188.54/470.28
  6. Step 6: Final answer
    x = 461.83

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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.