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Finding the Fourth Proportional to 238.21, 357.39 and 122.78

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Solution

The fourth proportional to 238.21, 357.39 and 122.78 is: 184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.21 : 357.39 = 122.78 : x
  2. Step 2: Convert to fraction form
    238.21/357.39 = 122.78/x
  3. Step 3: Cross multiply
    238.21x = 357.39 × 122.78
  4. Step 4: Simplify right side
    238.21x = 43,881.24
  5. Step 5: Solve for x
    x = 43,881.24/238.21
  6. Step 6: Final answer
    x = 184.21

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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.