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Finding the Fourth Proportional to 319.97, 476.69 and 304.49

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Solution

The fourth proportional to 319.97, 476.69 and 304.49 is: 453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.97 : 476.69 = 304.49 : x
  2. Step 2: Convert to fraction form
    319.97/476.69 = 304.49/x
  3. Step 3: Cross multiply
    319.97x = 476.69 × 304.49
  4. Step 4: Simplify right side
    319.97x = 145,147.01
  5. Step 5: Solve for x
    x = 145,147.01/319.97
  6. Step 6: Final answer
    x = 453.62

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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.