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Finding the Fourth Proportional to 258.70, 357 and 142.26

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Solution

The fourth proportional to 258.70, 357 and 142.26 is: 196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.70 : 357 = 142.26 : x
  2. Step 2: Convert to fraction form
    258.70/357 = 142.26/x
  3. Step 3: Cross multiply
    258.70x = 357 × 142.26
  4. Step 4: Simplify right side
    258.70x = 50,786.82
  5. Step 5: Solve for x
    x = 50,786.82/258.70
  6. Step 6: Final answer
    x = 196.32

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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.