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Finding the Fourth Proportional to 319.38, 480.90 and 238.80

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Solution

The fourth proportional to 319.38, 480.90 and 238.80 is: 359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.38 : 480.90 = 238.80 : x
  2. Step 2: Convert to fraction form
    319.38/480.90 = 238.80/x
  3. Step 3: Cross multiply
    319.38x = 480.90 × 238.80
  4. Step 4: Simplify right side
    319.38x = 114,838.92
  5. Step 5: Solve for x
    x = 114,838.92/319.38
  6. Step 6: Final answer
    x = 359.57

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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.