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Finding the Fourth Proportional to 258.11, 356.17 and 146.09

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Solution

The fourth proportional to 258.11, 356.17 and 146.09 is: 201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.11 : 356.17 = 146.09 : x
  2. Step 2: Convert to fraction form
    258.11/356.17 = 146.09/x
  3. Step 3: Cross multiply
    258.11x = 356.17 × 146.09
  4. Step 4: Simplify right side
    258.11x = 52,032.22
  5. Step 5: Solve for x
    x = 52,032.22/258.11
  6. Step 6: Final answer
    x = 201.59

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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.