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Finding the Fourth Proportional to 258.28, 356.80 and 238.84

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Solution

The fourth proportional to 258.28, 356.80 and 238.84 is: 329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.28 : 356.80 = 238.84 : x
  2. Step 2: Convert to fraction form
    258.28/356.80 = 238.84/x
  3. Step 3: Cross multiply
    258.28x = 356.80 × 238.84
  4. Step 4: Simplify right side
    258.28x = 85,218.11
  5. Step 5: Solve for x
    x = 85,218.11/258.28
  6. Step 6: Final answer
    x = 329.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.