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Finding the Fourth Proportional to 319.73, 479.27 and 137.07

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Solution

The fourth proportional to 319.73, 479.27 and 137.07 is: 205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.73 : 479.27 = 137.07 : x
  2. Step 2: Convert to fraction form
    319.73/479.27 = 137.07/x
  3. Step 3: Cross multiply
    319.73x = 479.27 × 137.07
  4. Step 4: Simplify right side
    319.73x = 65,693.88
  5. Step 5: Solve for x
    x = 65,693.88/319.73
  6. Step 6: Final answer
    x = 205.47

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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.