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Finding the Fourth Proportional to 319.92, 479.48 and 137.09

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Solution

The fourth proportional to 319.92, 479.48 and 137.09 is: 205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.92 : 479.48 = 137.09 : x
  2. Step 2: Convert to fraction form
    319.92/479.48 = 137.09/x
  3. Step 3: Cross multiply
    319.92x = 479.48 × 137.09
  4. Step 4: Simplify right side
    319.92x = 65,728.83
  5. Step 5: Solve for x
    x = 65,728.83/319.92
  6. Step 6: Final answer
    x = 205.45

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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.