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Finding the Fourth Proportional to 258.95, 357.34 and 140.92

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Solution

The fourth proportional to 258.95, 357.34 and 140.92 is: 194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.95 : 357.34 = 140.92 : x
  2. Step 2: Convert to fraction form
    258.95/357.34 = 140.92/x
  3. Step 3: Cross multiply
    258.95x = 357.34 × 140.92
  4. Step 4: Simplify right side
    258.95x = 50,353.86
  5. Step 5: Solve for x
    x = 50,353.86/258.95
  6. Step 6: Final answer
    x = 194.46

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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.