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Finding the Fourth Proportional to 319.36, 478.74 and 238.12

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Solution

The fourth proportional to 319.36, 478.74 and 238.12 is: 356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.36 : 478.74 = 238.12 : x
  2. Step 2: Convert to fraction form
    319.36/478.74 = 238.12/x
  3. Step 3: Cross multiply
    319.36x = 478.74 × 238.12
  4. Step 4: Simplify right side
    319.36x = 113,997.57
  5. Step 5: Solve for x
    x = 113,997.57/319.36
  6. Step 6: Final answer
    x = 356.96

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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.