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Finding the Fourth Proportional to 259.14, 357.34 and 185.43

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Solution

The fourth proportional to 259.14, 357.34 and 185.43 is: 255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.14 : 357.34 = 185.43 : x
  2. Step 2: Convert to fraction form
    259.14/357.34 = 185.43/x
  3. Step 3: Cross multiply
    259.14x = 357.34 × 185.43
  4. Step 4: Simplify right side
    259.14x = 66,261.56
  5. Step 5: Solve for x
    x = 66,261.56/259.14
  6. Step 6: Final answer
    x = 255.70

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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.