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Finding the Fourth Proportional to 258.05, 356.10 and 141.61

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Solution

The fourth proportional to 258.05, 356.10 and 141.61 is: 195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.05 : 356.10 = 141.61 : x
  2. Step 2: Convert to fraction form
    258.05/356.10 = 141.61/x
  3. Step 3: Cross multiply
    258.05x = 356.10 × 141.61
  4. Step 4: Simplify right side
    258.05x = 50,425.54
  5. Step 5: Solve for x
    x = 50,425.54/258.05
  6. Step 6: Final answer
    x = 195.41

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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.