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Finding the Fourth Proportional to 255.85, 353.18 and 189.34

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Solution

The fourth proportional to 255.85, 353.18 and 189.34 is: 261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.85 : 353.18 = 189.34 : x
  2. Step 2: Convert to fraction form
    255.85/353.18 = 189.34/x
  3. Step 3: Cross multiply
    255.85x = 353.18 × 189.34
  4. Step 4: Simplify right side
    255.85x = 66,871.10
  5. Step 5: Solve for x
    x = 66,871.10/255.85
  6. Step 6: Final answer
    x = 261.37

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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.