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Finding the Fourth Proportional to 258.42, 356.70 and 171.09

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Solution

The fourth proportional to 258.42, 356.70 and 171.09 is: 236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.42 : 356.70 = 171.09 : x
  2. Step 2: Convert to fraction form
    258.42/356.70 = 171.09/x
  3. Step 3: Cross multiply
    258.42x = 356.70 × 171.09
  4. Step 4: Simplify right side
    258.42x = 61,027.80
  5. Step 5: Solve for x
    x = 61,027.80/258.42
  6. Step 6: Final answer
    x = 236.16

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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.