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Finding the Fourth Proportional to 319.28, 475.74 and 304.56

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Solution

The fourth proportional to 319.28, 475.74 and 304.56 is: 453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.28 : 475.74 = 304.56 : x
  2. Step 2: Convert to fraction form
    319.28/475.74 = 304.56/x
  3. Step 3: Cross multiply
    319.28x = 475.74 × 304.56
  4. Step 4: Simplify right side
    319.28x = 144,891.37
  5. Step 5: Solve for x
    x = 144,891.37/319.28
  6. Step 6: Final answer
    x = 453.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.