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Finding the Fourth Proportional to 258.54, 356.73 and 179.91

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Solution

The fourth proportional to 258.54, 356.73 and 179.91 is: 248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.54 : 356.73 = 179.91 : x
  2. Step 2: Convert to fraction form
    258.54/356.73 = 179.91/x
  3. Step 3: Cross multiply
    258.54x = 356.73 × 179.91
  4. Step 4: Simplify right side
    258.54x = 64,179.29
  5. Step 5: Solve for x
    x = 64,179.29/258.54
  6. Step 6: Final answer
    x = 248.24

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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.