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Finding the Fourth Proportional to 258.67, 356.94 and 160.42

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Solution

The fourth proportional to 258.67, 356.94 and 160.42 is: 221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.67 : 356.94 = 160.42 : x
  2. Step 2: Convert to fraction form
    258.67/356.94 = 160.42/x
  3. Step 3: Cross multiply
    258.67x = 356.94 × 160.42
  4. Step 4: Simplify right side
    258.67x = 57,260.31
  5. Step 5: Solve for x
    x = 57,260.31/258.67
  6. Step 6: Final answer
    x = 221.36

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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.