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Finding the Fourth Proportional to 490.96, 736.36 and 308.08

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Solution

The fourth proportional to 490.96, 736.36 and 308.08 is: 462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.96 : 736.36 = 308.08 : x
  2. Step 2: Convert to fraction form
    490.96/736.36 = 308.08/x
  3. Step 3: Cross multiply
    490.96x = 736.36 × 308.08
  4. Step 4: Simplify right side
    490.96x = 226,857.79
  5. Step 5: Solve for x
    x = 226,857.79/490.96
  6. Step 6: Final answer
    x = 462.07

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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.