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Finding the Fourth Proportional to 258.30, 356.65 and 245.41

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Solution

The fourth proportional to 258.30, 356.65 and 245.41 is: 338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.30 : 356.65 = 245.41 : x
  2. Step 2: Convert to fraction form
    258.30/356.65 = 245.41/x
  3. Step 3: Cross multiply
    258.30x = 356.65 × 245.41
  4. Step 4: Simplify right side
    258.30x = 87,523.97
  5. Step 5: Solve for x
    x = 87,523.97/258.30
  6. Step 6: Final answer
    x = 338.85

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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.