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Finding the Fourth Proportional to 258.74, 357.05 and 142.30

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Solution

The fourth proportional to 258.74, 357.05 and 142.30 is: 196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.74 : 357.05 = 142.30 : x
  2. Step 2: Convert to fraction form
    258.74/357.05 = 142.30/x
  3. Step 3: Cross multiply
    258.74x = 357.05 × 142.30
  4. Step 4: Simplify right side
    258.74x = 50,808.22
  5. Step 5: Solve for x
    x = 50,808.22/258.74
  6. Step 6: Final answer
    x = 196.37

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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.