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Finding the Fourth Proportional to 258.09, 356.45 and 160.08

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Solution

The fourth proportional to 258.09, 356.45 and 160.08 is: 221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.09 : 356.45 = 160.08 : x
  2. Step 2: Convert to fraction form
    258.09/356.45 = 160.08/x
  3. Step 3: Cross multiply
    258.09x = 356.45 × 160.08
  4. Step 4: Simplify right side
    258.09x = 57,059.72
  5. Step 5: Solve for x
    x = 57,059.72/258.09
  6. Step 6: Final answer
    x = 221.08

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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.