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Finding the Fourth Proportional to 338.24, 509.44 and 308.64

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Solution

The fourth proportional to 338.24, 509.44 and 308.64 is: 464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.24 : 509.44 = 308.64 : x
  2. Step 2: Convert to fraction form
    338.24/509.44 = 308.64/x
  3. Step 3: Cross multiply
    338.24x = 509.44 × 308.64
  4. Step 4: Simplify right side
    338.24x = 157,233.56
  5. Step 5: Solve for x
    x = 157,233.56/338.24
  6. Step 6: Final answer
    x = 464.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.